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Finding the Third Proportional to 130,030 and 206,886

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Solution

The third proportional to 130,030 and 206,886 is: 329,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,030 : 206,886 = 206,886 : x
  2. Step 2: Convert to fraction form
    130,030/206,886 = 206,886/x
  3. Step 3: Cross multiply
    130,030x = 206,886 × 206,886
  4. Step 4: Simplify right side
    130,030x = 42,801,816,996
  5. Step 5: Solve for x
    x = 42,801,816,996/130,030
  6. Step 6: Final answer
    x = 329,168.78

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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.