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Finding the Third Proportional to 136,332.56 and 291,618.94

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Solution

The third proportional to 136,332.56 and 291,618.94 is: 623,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,332.56 : 291,618.94 = 291,618.94 : x
  2. Step 2: Convert to fraction form
    136,332.56/291,618.94 = 291,618.94/x
  3. Step 3: Cross multiply
    136,332.56x = 291,618.94 × 291,618.94
  4. Step 4: Simplify right side
    136,332.56x = 85,041,604,708.63
  5. Step 5: Solve for x
    x = 85,041,604,708.63/136,332.56
  6. Step 6: Final answer
    x = 623,780.58

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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.