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Finding the Third Proportional to 138,807 and 300,942

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Solution

The third proportional to 138,807 and 300,942 is: 652,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,807 : 300,942 = 300,942 : x
  2. Step 2: Convert to fraction form
    138,807/300,942 = 300,942/x
  3. Step 3: Cross multiply
    138,807x = 300,942 × 300,942
  4. Step 4: Simplify right side
    138,807x = 90,566,087,364
  5. Step 5: Solve for x
    x = 90,566,087,364/138,807
  6. Step 6: Final answer
    x = 652,460.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.