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Finding the Third Proportional to 159,562 and 242,659

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Solution

The third proportional to 159,562 and 242,659 is: 369,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,562 : 242,659 = 242,659 : x
  2. Step 2: Convert to fraction form
    159,562/242,659 = 242,659/x
  3. Step 3: Cross multiply
    159,562x = 242,659 × 242,659
  4. Step 4: Simplify right side
    159,562x = 58,883,390,281
  5. Step 5: Solve for x
    x = 58,883,390,281/159,562
  6. Step 6: Final answer
    x = 369,031.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.