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Finding the Third Proportional to 144,743 and 220,007

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Solution

The third proportional to 144,743 and 220,007 is: 334,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,743 : 220,007 = 220,007 : x
  2. Step 2: Convert to fraction form
    144,743/220,007 = 220,007/x
  3. Step 3: Cross multiply
    144,743x = 220,007 × 220,007
  4. Step 4: Simplify right side
    144,743x = 48,403,080,049
  5. Step 5: Solve for x
    x = 48,403,080,049/144,743
  6. Step 6: Final answer
    x = 334,407.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.