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Finding the Third Proportional to 84,304 and 176,402

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Solution

The third proportional to 84,304 and 176,402 is: 369,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,304 : 176,402 = 176,402 : x
  2. Step 2: Convert to fraction form
    84,304/176,402 = 176,402/x
  3. Step 3: Cross multiply
    84,304x = 176,402 × 176,402
  4. Step 4: Simplify right side
    84,304x = 31,117,665,604
  5. Step 5: Solve for x
    x = 31,117,665,604/84,304
  6. Step 6: Final answer
    x = 369,112.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.