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Finding the Third Proportional to 142,248 and 311,280

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Solution

The third proportional to 142,248 and 311,280 is: 681,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248 : 311,280 = 311,280 : x
  2. Step 2: Convert to fraction form
    142,248/311,280 = 311,280/x
  3. Step 3: Cross multiply
    142,248x = 311,280 × 311,280
  4. Step 4: Simplify right side
    142,248x = 96,895,238,400
  5. Step 5: Solve for x
    x = 96,895,238,400/142,248
  6. Step 6: Final answer
    x = 681,171.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.