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Finding the Third Proportional to 154,411.50 and 224,580

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Solution

The third proportional to 154,411.50 and 224,580 is: 326,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411.50 : 224,580 = 224,580 : x
  2. Step 2: Convert to fraction form
    154,411.50/224,580 = 224,580/x
  3. Step 3: Cross multiply
    154,411.50x = 224,580 × 224,580
  4. Step 4: Simplify right side
    154,411.50x = 50,436,176,400
  5. Step 5: Solve for x
    x = 50,436,176,400/154,411.50
  6. Step 6: Final answer
    x = 326,634.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.