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Finding the Third Proportional to 160,864 and 236,613

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Solution

The third proportional to 160,864 and 236,613 is: 348,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,864 : 236,613 = 236,613 : x
  2. Step 2: Convert to fraction form
    160,864/236,613 = 236,613/x
  3. Step 3: Cross multiply
    160,864x = 236,613 × 236,613
  4. Step 4: Simplify right side
    160,864x = 55,985,711,769
  5. Step 5: Solve for x
    x = 55,985,711,769/160,864
  6. Step 6: Final answer
    x = 348,031.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.