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Finding the Third Proportional to 151,926 and 235,853

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Solution

The third proportional to 151,926 and 235,853 is: 366,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,926 : 235,853 = 235,853 : x
  2. Step 2: Convert to fraction form
    151,926/235,853 = 235,853/x
  3. Step 3: Cross multiply
    151,926x = 235,853 × 235,853
  4. Step 4: Simplify right side
    151,926x = 55,626,637,609
  5. Step 5: Solve for x
    x = 55,626,637,609/151,926
  6. Step 6: Final answer
    x = 366,142.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.