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Finding the Third Proportional to 144,080 and 207,550

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Solution

The third proportional to 144,080 and 207,550 is: 298,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,080 : 207,550 = 207,550 : x
  2. Step 2: Convert to fraction form
    144,080/207,550 = 207,550/x
  3. Step 3: Cross multiply
    144,080x = 207,550 × 207,550
  4. Step 4: Simplify right side
    144,080x = 43,077,002,500
  5. Step 5: Solve for x
    x = 43,077,002,500/144,080
  6. Step 6: Final answer
    x = 298,979.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.