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Finding the Third Proportional to 130,022 and 206,875

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Solution

The third proportional to 130,022 and 206,875 is: 329,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,022 : 206,875 = 206,875 : x
  2. Step 2: Convert to fraction form
    130,022/206,875 = 206,875/x
  3. Step 3: Cross multiply
    130,022x = 206,875 × 206,875
  4. Step 4: Simplify right side
    130,022x = 42,797,265,625
  5. Step 5: Solve for x
    x = 42,797,265,625/130,022
  6. Step 6: Final answer
    x = 329,154.03

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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.