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Finding the Third Proportional to 236,981 and 385,013

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Solution

The third proportional to 236,981 and 385,013 is: 625,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,981 : 385,013 = 385,013 : x
  2. Step 2: Convert to fraction form
    236,981/385,013 = 385,013/x
  3. Step 3: Cross multiply
    236,981x = 385,013 × 385,013
  4. Step 4: Simplify right side
    236,981x = 148,235,010,169
  5. Step 5: Solve for x
    x = 148,235,010,169/236,981
  6. Step 6: Final answer
    x = 625,514.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.