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Finding the Third Proportional to 153,024.75 and 232,924.13

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Solution

The third proportional to 153,024.75 and 232,924.13 is: 354,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024.75 : 232,924.13 = 232,924.13 : x
  2. Step 2: Convert to fraction form
    153,024.75/232,924.13 = 232,924.13/x
  3. Step 3: Cross multiply
    153,024.75x = 232,924.13 × 232,924.13
  4. Step 4: Simplify right side
    153,024.75x = 54,253,648,007.02
  5. Step 5: Solve for x
    x = 54,253,648,007.02/153,024.75
  6. Step 6: Final answer
    x = 354,541.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.