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Finding the Third Proportional to 159,938 and 240,312

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Solution

The third proportional to 159,938 and 240,312 is: 361,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,938 : 240,312 = 240,312 : x
  2. Step 2: Convert to fraction form
    159,938/240,312 = 240,312/x
  3. Step 3: Cross multiply
    159,938x = 240,312 × 240,312
  4. Step 4: Simplify right side
    159,938x = 57,749,857,344
  5. Step 5: Solve for x
    x = 57,749,857,344/159,938
  6. Step 6: Final answer
    x = 361,076.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.