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Finding the Third Proportional to 112,255 and 240,075

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Solution

The third proportional to 112,255 and 240,075 is: 513,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,255 : 240,075 = 240,075 : x
  2. Step 2: Convert to fraction form
    112,255/240,075 = 240,075/x
  3. Step 3: Cross multiply
    112,255x = 240,075 × 240,075
  4. Step 4: Simplify right side
    112,255x = 57,636,005,625
  5. Step 5: Solve for x
    x = 57,636,005,625/112,255
  6. Step 6: Final answer
    x = 513,438.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.