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Finding the Third Proportional to 115,016 and 247,528

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Solution

The third proportional to 115,016 and 247,528 is: 532,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,016 : 247,528 = 247,528 : x
  2. Step 2: Convert to fraction form
    115,016/247,528 = 247,528/x
  3. Step 3: Cross multiply
    115,016x = 247,528 × 247,528
  4. Step 4: Simplify right side
    115,016x = 61,270,110,784
  5. Step 5: Solve for x
    x = 61,270,110,784/115,016
  6. Step 6: Final answer
    x = 532,709.46

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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.