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Finding the Third Proportional to 156,764 and 242,814

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Solution

The third proportional to 156,764 and 242,814 is: 376,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,764 : 242,814 = 242,814 : x
  2. Step 2: Convert to fraction form
    156,764/242,814 = 242,814/x
  3. Step 3: Cross multiply
    156,764x = 242,814 × 242,814
  4. Step 4: Simplify right side
    156,764x = 58,958,638,596
  5. Step 5: Solve for x
    x = 58,958,638,596/156,764
  6. Step 6: Final answer
    x = 376,098.07

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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.