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Finding the Third Proportional to 130,434.75 and 207,487.13

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Solution

The third proportional to 130,434.75 and 207,487.13 is: 330,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,434.75 : 207,487.13 = 207,487.13 : x
  2. Step 2: Convert to fraction form
    130,434.75/207,487.13 = 207,487.13/x
  3. Step 3: Cross multiply
    130,434.75x = 207,487.13 × 207,487.13
  4. Step 4: Simplify right side
    130,434.75x = 43,050,907,040.77
  5. Step 5: Solve for x
    x = 43,050,907,040.77/130,434.75
  6. Step 6: Final answer
    x = 330,057.04

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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.