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Finding the Third Proportional to 130,654.13 and 286,219.88

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Solution

The third proportional to 130,654.13 and 286,219.88 is: 627,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,654.13 : 286,219.88 = 286,219.88 : x
  2. Step 2: Convert to fraction form
    130,654.13/286,219.88 = 286,219.88/x
  3. Step 3: Cross multiply
    130,654.13x = 286,219.88 × 286,219.88
  4. Step 4: Simplify right side
    130,654.13x = 81,921,816,845.02
  5. Step 5: Solve for x
    x = 81,921,816,845.02/130,654.13
  6. Step 6: Final answer
    x = 627,012.86

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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.