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Finding the Third Proportional to 166,272 and 402,528

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Solution

The third proportional to 166,272 and 402,528 is: 974,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272 : 402,528 = 402,528 : x
  2. Step 2: Convert to fraction form
    166,272/402,528 = 402,528/x
  3. Step 3: Cross multiply
    166,272x = 402,528 × 402,528
  4. Step 4: Simplify right side
    166,272x = 162,028,790,784
  5. Step 5: Solve for x
    x = 162,028,790,784/166,272
  6. Step 6: Final answer
    x = 974,480.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.