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Finding the Third Proportional to 136,866.38 and 292,646.25

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Solution

The third proportional to 136,866.38 and 292,646.25 is: 625,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,866.38 : 292,646.25 = 292,646.25 : x
  2. Step 2: Convert to fraction form
    136,866.38/292,646.25 = 292,646.25/x
  3. Step 3: Cross multiply
    136,866.38x = 292,646.25 × 292,646.25
  4. Step 4: Simplify right side
    136,866.38x = 85,641,827,639.06
  5. Step 5: Solve for x
    x = 85,641,827,639.06/136,866.38
  6. Step 6: Final answer
    x = 625,733.15

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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.