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Finding the Third Proportional to 156,746 and 242,787

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Solution

The third proportional to 156,746 and 242,787 is: 376,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 242,787 = 242,787 : x
  2. Step 2: Convert to fraction form
    156,746/242,787 = 242,787/x
  3. Step 3: Cross multiply
    156,746x = 242,787 × 242,787
  4. Step 4: Simplify right side
    156,746x = 58,945,527,369
  5. Step 5: Solve for x
    x = 58,945,527,369/156,746
  6. Step 6: Final answer
    x = 376,057.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.