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Finding the Third Proportional to 136,864.69 and 292,644.56

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Solution

The third proportional to 136,864.69 and 292,644.56 is: 625,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,864.69 : 292,644.56 = 292,644.56 : x
  2. Step 2: Convert to fraction form
    136,864.69/292,644.56 = 292,644.56/x
  3. Step 3: Cross multiply
    136,864.69x = 292,644.56 × 292,644.56
  4. Step 4: Simplify right side
    136,864.69x = 85,640,839,960.82
  5. Step 5: Solve for x
    x = 85,640,839,960.82/136,864.69
  6. Step 6: Final answer
    x = 625,733.65

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