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Finding the Third Proportional to 103,691 and 229,270

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Solution

The third proportional to 103,691 and 229,270 is: 506,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 229,270 = 229,270 : x
  2. Step 2: Convert to fraction form
    103,691/229,270 = 229,270/x
  3. Step 3: Cross multiply
    103,691x = 229,270 × 229,270
  4. Step 4: Simplify right side
    103,691x = 52,564,732,900
  5. Step 5: Solve for x
    x = 52,564,732,900/103,691
  6. Step 6: Final answer
    x = 506,936.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.