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Finding the Third Proportional to 235,075.50 and 330,316.50

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Solution

The third proportional to 235,075.50 and 330,316.50 is: 464,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,075.50 : 330,316.50 = 330,316.50 : x
  2. Step 2: Convert to fraction form
    235,075.50/330,316.50 = 330,316.50/x
  3. Step 3: Cross multiply
    235,075.50x = 330,316.50 × 330,316.50
  4. Step 4: Simplify right side
    235,075.50x = 109,108,990,172.25
  5. Step 5: Solve for x
    x = 109,108,990,172.25/235,075.50
  6. Step 6: Final answer
    x = 464,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.