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Finding the Third Proportional to 156,552 and 242,508

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Solution

The third proportional to 156,552 and 242,508 is: 375,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,552 : 242,508 = 242,508 : x
  2. Step 2: Convert to fraction form
    156,552/242,508 = 242,508/x
  3. Step 3: Cross multiply
    156,552x = 242,508 × 242,508
  4. Step 4: Simplify right side
    156,552x = 58,810,130,064
  5. Step 5: Solve for x
    x = 58,810,130,064/156,552
  6. Step 6: Final answer
    x = 375,658.76

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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.