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Finding the Third Proportional to 187,776 and 417,534

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Solution

The third proportional to 187,776 and 417,534 is: 928,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,776 : 417,534 = 417,534 : x
  2. Step 2: Convert to fraction form
    187,776/417,534 = 417,534/x
  3. Step 3: Cross multiply
    187,776x = 417,534 × 417,534
  4. Step 4: Simplify right side
    187,776x = 174,334,641,156
  5. Step 5: Solve for x
    x = 174,334,641,156/187,776
  6. Step 6: Final answer
    x = 928,418.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.