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Finding the Third Proportional to 148,317.75 and 328,671

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Solution

The third proportional to 148,317.75 and 328,671 is: 728,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,317.75 : 328,671 = 328,671 : x
  2. Step 2: Convert to fraction form
    148,317.75/328,671 = 328,671/x
  3. Step 3: Cross multiply
    148,317.75x = 328,671 × 328,671
  4. Step 4: Simplify right side
    148,317.75x = 108,024,626,241
  5. Step 5: Solve for x
    x = 108,024,626,241/148,317.75
  6. Step 6: Final answer
    x = 728,332.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.