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Finding the Third Proportional to 130,672 and 286,252

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Solution

The third proportional to 130,672 and 286,252 is: 627,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,672 : 286,252 = 286,252 : x
  2. Step 2: Convert to fraction form
    130,672/286,252 = 286,252/x
  3. Step 3: Cross multiply
    130,672x = 286,252 × 286,252
  4. Step 4: Simplify right side
    130,672x = 81,940,207,504
  5. Step 5: Solve for x
    x = 81,940,207,504/130,672
  6. Step 6: Final answer
    x = 627,067.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.