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Finding the Third Proportional to 155,487 and 233,184.75

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Solution

The third proportional to 155,487 and 233,184.75 is: 349,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,487 : 233,184.75 = 233,184.75 : x
  2. Step 2: Convert to fraction form
    155,487/233,184.75 = 233,184.75/x
  3. Step 3: Cross multiply
    155,487x = 233,184.75 × 233,184.75
  4. Step 4: Simplify right side
    155,487x = 54,375,127,632.56
  5. Step 5: Solve for x
    x = 54,375,127,632.56/155,487
  6. Step 6: Final answer
    x = 349,708.51

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