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Finding the Third Proportional to 138,739 and 299,074.50

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Solution

The third proportional to 138,739 and 299,074.50 is: 644,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,739 : 299,074.50 = 299,074.50 : x
  2. Step 2: Convert to fraction form
    138,739/299,074.50 = 299,074.50/x
  3. Step 3: Cross multiply
    138,739x = 299,074.50 × 299,074.50
  4. Step 4: Simplify right side
    138,739x = 89,445,556,550.25
  5. Step 5: Solve for x
    x = 89,445,556,550.25/138,739
  6. Step 6: Final answer
    x = 644,703.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.