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Finding the Third Proportional to 175,712 and 379,072

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Solution

The third proportional to 175,712 and 379,072 is: 817,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,712 : 379,072 = 379,072 : x
  2. Step 2: Convert to fraction form
    175,712/379,072 = 379,072/x
  3. Step 3: Cross multiply
    175,712x = 379,072 × 379,072
  4. Step 4: Simplify right side
    175,712x = 143,695,581,184
  5. Step 5: Solve for x
    x = 143,695,581,184/175,712
  6. Step 6: Final answer
    x = 817,790.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.