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Finding the Third Proportional to 159,786 and 242,595

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Solution

The third proportional to 159,786 and 242,595 is: 368,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,786 : 242,595 = 242,595 : x
  2. Step 2: Convert to fraction form
    159,786/242,595 = 242,595/x
  3. Step 3: Cross multiply
    159,786x = 242,595 × 242,595
  4. Step 4: Simplify right side
    159,786x = 58,852,334,025
  5. Step 5: Solve for x
    x = 58,852,334,025/159,786
  6. Step 6: Final answer
    x = 368,319.72

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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.