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Finding the Third Proportional to 185,469 and 291,258

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Solution

The third proportional to 185,469 and 291,258 is: 457,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,469 : 291,258 = 291,258 : x
  2. Step 2: Convert to fraction form
    185,469/291,258 = 291,258/x
  3. Step 3: Cross multiply
    185,469x = 291,258 × 291,258
  4. Step 4: Simplify right side
    185,469x = 84,831,222,564
  5. Step 5: Solve for x
    x = 84,831,222,564/185,469
  6. Step 6: Final answer
    x = 457,387.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.