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Finding the Third Proportional to 148,452.75 and 323,545.50

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Solution

The third proportional to 148,452.75 and 323,545.50 is: 705,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452.75 : 323,545.50 = 323,545.50 : x
  2. Step 2: Convert to fraction form
    148,452.75/323,545.50 = 323,545.50/x
  3. Step 3: Cross multiply
    148,452.75x = 323,545.50 × 323,545.50
  4. Step 4: Simplify right side
    148,452.75x = 104,681,690,570.25
  5. Step 5: Solve for x
    x = 104,681,690,570.25/148,452.75
  6. Step 6: Final answer
    x = 705,151.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.