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Finding the Third Proportional to 235,411.50 and 331,657.50

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Solution

The third proportional to 235,411.50 and 331,657.50 is: 467,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,411.50 : 331,657.50 = 331,657.50 : x
  2. Step 2: Convert to fraction form
    235,411.50/331,657.50 = 331,657.50/x
  3. Step 3: Cross multiply
    235,411.50x = 331,657.50 × 331,657.50
  4. Step 4: Simplify right side
    235,411.50x = 109,996,697,306.25
  5. Step 5: Solve for x
    x = 109,996,697,306.25/235,411.50
  6. Step 6: Final answer
    x = 467,252.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.