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Finding the Third Proportional to 116,044 and 247,261

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Solution

The third proportional to 116,044 and 247,261 is: 526,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,044 : 247,261 = 247,261 : x
  2. Step 2: Convert to fraction form
    116,044/247,261 = 247,261/x
  3. Step 3: Cross multiply
    116,044x = 247,261 × 247,261
  4. Step 4: Simplify right side
    116,044x = 61,138,002,121
  5. Step 5: Solve for x
    x = 61,138,002,121/116,044
  6. Step 6: Final answer
    x = 526,851.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.