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Finding the Third Proportional to 130,658.25 and 286,227.38

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Solution

The third proportional to 130,658.25 and 286,227.38 is: 627,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,658.25 : 286,227.38 = 286,227.38 : x
  2. Step 2: Convert to fraction form
    130,658.25/286,227.38 = 286,227.38/x
  3. Step 3: Cross multiply
    130,658.25x = 286,227.38 × 286,227.38
  4. Step 4: Simplify right side
    130,658.25x = 81,926,110,199.39
  5. Step 5: Solve for x
    x = 81,926,110,199.39/130,658.25
  6. Step 6: Final answer
    x = 627,025.93

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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.