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Finding the Third Proportional to 137,814 and 212,715

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Solution

The third proportional to 137,814 and 212,715 is: 328,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,814 : 212,715 = 212,715 : x
  2. Step 2: Convert to fraction form
    137,814/212,715 = 212,715/x
  3. Step 3: Cross multiply
    137,814x = 212,715 × 212,715
  4. Step 4: Simplify right side
    137,814x = 45,247,671,225
  5. Step 5: Solve for x
    x = 45,247,671,225/137,814
  6. Step 6: Final answer
    x = 328,324.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.