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Finding the Third Proportional to 111,712 and 243,497

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Solution

The third proportional to 111,712 and 243,497 is: 530,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,712 : 243,497 = 243,497 : x
  2. Step 2: Convert to fraction form
    111,712/243,497 = 243,497/x
  3. Step 3: Cross multiply
    111,712x = 243,497 × 243,497
  4. Step 4: Simplify right side
    111,712x = 59,290,789,009
  5. Step 5: Solve for x
    x = 59,290,789,009/111,712
  6. Step 6: Final answer
    x = 530,746.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.