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Finding the Third Proportional to 131,470 and 287,258

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Solution

The third proportional to 131,470 and 287,258 is: 627,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470 : 287,258 = 287,258 : x
  2. Step 2: Convert to fraction form
    131,470/287,258 = 287,258/x
  3. Step 3: Cross multiply
    131,470x = 287,258 × 287,258
  4. Step 4: Simplify right side
    131,470x = 82,517,158,564
  5. Step 5: Solve for x
    x = 82,517,158,564/131,470
  6. Step 6: Final answer
    x = 627,650.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.