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Finding the Third Proportional to 155,446.50 and 233,170.50

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Solution

The third proportional to 155,446.50 and 233,170.50 is: 349,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,446.50 : 233,170.50 = 233,170.50 : x
  2. Step 2: Convert to fraction form
    155,446.50/233,170.50 = 233,170.50/x
  3. Step 3: Cross multiply
    155,446.50x = 233,170.50 × 233,170.50
  4. Step 4: Simplify right side
    155,446.50x = 54,368,482,070.25
  5. Step 5: Solve for x
    x = 54,368,482,070.25/155,446.50
  6. Step 6: Final answer
    x = 349,756.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.