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Finding the Third Proportional to 155,712 and 232,755.75

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Solution

The third proportional to 155,712 and 232,755.75 is: 347,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,712 : 232,755.75 = 232,755.75 : x
  2. Step 2: Convert to fraction form
    155,712/232,755.75 = 232,755.75/x
  3. Step 3: Cross multiply
    155,712x = 232,755.75 × 232,755.75
  4. Step 4: Simplify right side
    155,712x = 54,175,239,158.06
  5. Step 5: Solve for x
    x = 54,175,239,158.06/155,712
  6. Step 6: Final answer
    x = 347,919.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.