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Finding the Third Proportional to 153,355 and 232,791

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Solution

The third proportional to 153,355 and 232,791 is: 353,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,355 : 232,791 = 232,791 : x
  2. Step 2: Convert to fraction form
    153,355/232,791 = 232,791/x
  3. Step 3: Cross multiply
    153,355x = 232,791 × 232,791
  4. Step 4: Simplify right side
    153,355x = 54,191,649,681
  5. Step 5: Solve for x
    x = 54,191,649,681/153,355
  6. Step 6: Final answer
    x = 353,373.87

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Why These Related Problems?

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