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Finding the Third Proportional to 130,540 and 286,096

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Solution

The third proportional to 130,540 and 286,096 is: 627,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,540 : 286,096 = 286,096 : x
  2. Step 2: Convert to fraction form
    130,540/286,096 = 286,096/x
  3. Step 3: Cross multiply
    130,540x = 286,096 × 286,096
  4. Step 4: Simplify right side
    130,540x = 81,850,921,216
  5. Step 5: Solve for x
    x = 81,850,921,216/130,540
  6. Step 6: Final answer
    x = 627,017.93

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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.