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Finding the Third Proportional to 137,248 and 206,202

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Solution

The third proportional to 137,248 and 206,202 is: 309,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248 : 206,202 = 206,202 : x
  2. Step 2: Convert to fraction form
    137,248/206,202 = 206,202/x
  3. Step 3: Cross multiply
    137,248x = 206,202 × 206,202
  4. Step 4: Simplify right side
    137,248x = 42,519,264,804
  5. Step 5: Solve for x
    x = 42,519,264,804/137,248
  6. Step 6: Final answer
    x = 309,798.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.