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Finding the Third Proportional to 137,818 and 300,248

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Solution

The third proportional to 137,818 and 300,248 is: 654,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,818 : 300,248 = 300,248 : x
  2. Step 2: Convert to fraction form
    137,818/300,248 = 300,248/x
  3. Step 3: Cross multiply
    137,818x = 300,248 × 300,248
  4. Step 4: Simplify right side
    137,818x = 90,148,861,504
  5. Step 5: Solve for x
    x = 90,148,861,504/137,818
  6. Step 6: Final answer
    x = 654,115.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.