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Finding the Third Proportional to 159,448 and 245,292

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Solution

The third proportional to 159,448 and 245,292 is: 377,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,448 : 245,292 = 245,292 : x
  2. Step 2: Convert to fraction form
    159,448/245,292 = 245,292/x
  3. Step 3: Cross multiply
    159,448x = 245,292 × 245,292
  4. Step 4: Simplify right side
    159,448x = 60,168,165,264
  5. Step 5: Solve for x
    x = 60,168,165,264/159,448
  6. Step 6: Final answer
    x = 377,352.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.