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Finding the Third Proportional to 149,626 and 249,352

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Solution

The third proportional to 149,626 and 249,352 is: 415,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,626 : 249,352 = 249,352 : x
  2. Step 2: Convert to fraction form
    149,626/249,352 = 249,352/x
  3. Step 3: Cross multiply
    149,626x = 249,352 × 249,352
  4. Step 4: Simplify right side
    149,626x = 62,176,419,904
  5. Step 5: Solve for x
    x = 62,176,419,904/149,626
  6. Step 6: Final answer
    x = 415,545.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.