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Finding the Third Proportional to 300,075.75 and 460,136.25

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Solution

The third proportional to 300,075.75 and 460,136.25 is: 705,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,075.75 : 460,136.25 = 460,136.25 : x
  2. Step 2: Convert to fraction form
    300,075.75/460,136.25 = 460,136.25/x
  3. Step 3: Cross multiply
    300,075.75x = 460,136.25 × 460,136.25
  4. Step 4: Simplify right side
    300,075.75x = 211,725,368,564.06
  5. Step 5: Solve for x
    x = 211,725,368,564.06/300,075.75
  6. Step 6: Final answer
    x = 705,573.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.