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Finding the Third Proportional to 130,521.25 and 207,686.75

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Solution

The third proportional to 130,521.25 and 207,686.75 is: 330,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,521.25 : 207,686.75 = 207,686.75 : x
  2. Step 2: Convert to fraction form
    130,521.25/207,686.75 = 207,686.75/x
  3. Step 3: Cross multiply
    130,521.25x = 207,686.75 × 207,686.75
  4. Step 4: Simplify right side
    130,521.25x = 43,133,786,125.56
  5. Step 5: Solve for x
    x = 43,133,786,125.56/130,521.25
  6. Step 6: Final answer
    x = 330,473.28

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