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Finding the Third Proportional to 156,325 and 242,210

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Solution

The third proportional to 156,325 and 242,210 is: 375,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,325 : 242,210 = 242,210 : x
  2. Step 2: Convert to fraction form
    156,325/242,210 = 242,210/x
  3. Step 3: Cross multiply
    156,325x = 242,210 × 242,210
  4. Step 4: Simplify right side
    156,325x = 58,665,684,100
  5. Step 5: Solve for x
    x = 58,665,684,100/156,325
  6. Step 6: Final answer
    x = 375,280.24

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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.