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Finding the Third Proportional to 82,470 and 176,598

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Solution

The third proportional to 82,470 and 176,598 is: 378,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470 : 176,598 = 176,598 : x
  2. Step 2: Convert to fraction form
    82,470/176,598 = 176,598/x
  3. Step 3: Cross multiply
    82,470x = 176,598 × 176,598
  4. Step 4: Simplify right side
    82,470x = 31,186,853,604
  5. Step 5: Solve for x
    x = 31,186,853,604/82,470
  6. Step 6: Final answer
    x = 378,159.98

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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.