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Finding the Third Proportional to 153,357 and 232,795

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Solution

The third proportional to 153,357 and 232,795 is: 353,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,357 : 232,795 = 232,795 : x
  2. Step 2: Convert to fraction form
    153,357/232,795 = 232,795/x
  3. Step 3: Cross multiply
    153,357x = 232,795 × 232,795
  4. Step 4: Simplify right side
    153,357x = 54,193,512,025
  5. Step 5: Solve for x
    x = 54,193,512,025/153,357
  6. Step 6: Final answer
    x = 353,381.40

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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.