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Finding the Third Proportional to 159,354 and 240,264

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Solution

The third proportional to 159,354 and 240,264 is: 362,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,354 : 240,264 = 240,264 : x
  2. Step 2: Convert to fraction form
    159,354/240,264 = 240,264/x
  3. Step 3: Cross multiply
    159,354x = 240,264 × 240,264
  4. Step 4: Simplify right side
    159,354x = 57,726,789,696
  5. Step 5: Solve for x
    x = 57,726,789,696/159,354
  6. Step 6: Final answer
    x = 362,255.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.