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Finding the Third Proportional to 142,934 and 209,028

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Solution

The third proportional to 142,934 and 209,028 is: 305,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,934 : 209,028 = 209,028 : x
  2. Step 2: Convert to fraction form
    142,934/209,028 = 209,028/x
  3. Step 3: Cross multiply
    142,934x = 209,028 × 209,028
  4. Step 4: Simplify right side
    142,934x = 43,692,704,784
  5. Step 5: Solve for x
    x = 43,692,704,784/142,934
  6. Step 6: Final answer
    x = 305,684.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.