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Finding the Third Proportional to 134,646.75 and 286,789.50

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Solution

The third proportional to 134,646.75 and 286,789.50 is: 610,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,646.75 : 286,789.50 = 286,789.50 : x
  2. Step 2: Convert to fraction form
    134,646.75/286,789.50 = 286,789.50/x
  3. Step 3: Cross multiply
    134,646.75x = 286,789.50 × 286,789.50
  4. Step 4: Simplify right side
    134,646.75x = 82,248,217,310.25
  5. Step 5: Solve for x
    x = 82,248,217,310.25/134,646.75
  6. Step 6: Final answer
    x = 610,844.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.