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Finding the Third Proportional to 116,046 and 247,265

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Solution

The third proportional to 116,046 and 247,265 is: 526,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,046 : 247,265 = 247,265 : x
  2. Step 2: Convert to fraction form
    116,046/247,265 = 247,265/x
  3. Step 3: Cross multiply
    116,046x = 247,265 × 247,265
  4. Step 4: Simplify right side
    116,046x = 61,139,980,225
  5. Step 5: Solve for x
    x = 61,139,980,225/116,046
  6. Step 6: Final answer
    x = 526,859.87

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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.