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Finding the Third Proportional to 175,428 and 267,480

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Solution

The third proportional to 175,428 and 267,480 is: 407,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,428 : 267,480 = 267,480 : x
  2. Step 2: Convert to fraction form
    175,428/267,480 = 267,480/x
  3. Step 3: Cross multiply
    175,428x = 267,480 × 267,480
  4. Step 4: Simplify right side
    175,428x = 71,545,550,400
  5. Step 5: Solve for x
    x = 71,545,550,400/175,428
  6. Step 6: Final answer
    x = 407,834.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.