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Finding the Third Proportional to 138,880 and 207,407

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Solution

The third proportional to 138,880 and 207,407 is: 309,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,880 : 207,407 = 207,407 : x
  2. Step 2: Convert to fraction form
    138,880/207,407 = 207,407/x
  3. Step 3: Cross multiply
    138,880x = 207,407 × 207,407
  4. Step 4: Simplify right side
    138,880x = 43,017,663,649
  5. Step 5: Solve for x
    x = 43,017,663,649/138,880
  6. Step 6: Final answer
    x = 309,747.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.