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Finding the Third Proportional to 136,500.19 and 292,759.31

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Solution

The third proportional to 136,500.19 and 292,759.31 is: 627,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,500.19 : 292,759.31 = 292,759.31 : x
  2. Step 2: Convert to fraction form
    136,500.19/292,759.31 = 292,759.31/x
  3. Step 3: Cross multiply
    136,500.19x = 292,759.31 × 292,759.31
  4. Step 4: Simplify right side
    136,500.19x = 85,708,015,055.47
  5. Step 5: Solve for x
    x = 85,708,015,055.47/136,500.19
  6. Step 6: Final answer
    x = 627,896.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.