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Finding the Third Proportional to 114,729 and 247,035

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Solution

The third proportional to 114,729 and 247,035 is: 531,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729 : 247,035 = 247,035 : x
  2. Step 2: Convert to fraction form
    114,729/247,035 = 247,035/x
  3. Step 3: Cross multiply
    114,729x = 247,035 × 247,035
  4. Step 4: Simplify right side
    114,729x = 61,026,291,225
  5. Step 5: Solve for x
    x = 61,026,291,225/114,729
  6. Step 6: Final answer
    x = 531,916.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.