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Finding the Third Proportional to 130,520.53 and 207,685.69

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Solution

The third proportional to 130,520.53 and 207,685.69 is: 330,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,520.53 : 207,685.69 = 207,685.69 : x
  2. Step 2: Convert to fraction form
    130,520.53/207,685.69 = 207,685.69/x
  3. Step 3: Cross multiply
    130,520.53x = 207,685.69 × 207,685.69
  4. Step 4: Simplify right side
    130,520.53x = 43,133,344,792.35
  5. Step 5: Solve for x
    x = 43,133,344,792.35/130,520.53
  6. Step 6: Final answer
    x = 330,471.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.