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Finding the Third Proportional to 159,688 and 236,452

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Solution

The third proportional to 159,688 and 236,452 is: 350,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,688 : 236,452 = 236,452 : x
  2. Step 2: Convert to fraction form
    159,688/236,452 = 236,452/x
  3. Step 3: Cross multiply
    159,688x = 236,452 × 236,452
  4. Step 4: Simplify right side
    159,688x = 55,909,548,304
  5. Step 5: Solve for x
    x = 55,909,548,304/159,688
  6. Step 6: Final answer
    x = 350,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.