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Finding the Third Proportional to 138,544.50 and 298,959

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Solution

The third proportional to 138,544.50 and 298,959 is: 645,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544.50 : 298,959 = 298,959 : x
  2. Step 2: Convert to fraction form
    138,544.50/298,959 = 298,959/x
  3. Step 3: Cross multiply
    138,544.50x = 298,959 × 298,959
  4. Step 4: Simplify right side
    138,544.50x = 89,376,483,681
  5. Step 5: Solve for x
    x = 89,376,483,681/138,544.50
  6. Step 6: Final answer
    x = 645,110.30

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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.