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Finding the Third Proportional to 139,649 and 301,438

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Solution

The third proportional to 139,649 and 301,438 is: 650,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,649 : 301,438 = 301,438 : x
  2. Step 2: Convert to fraction form
    139,649/301,438 = 301,438/x
  3. Step 3: Cross multiply
    139,649x = 301,438 × 301,438
  4. Step 4: Simplify right side
    139,649x = 90,864,867,844
  5. Step 5: Solve for x
    x = 90,864,867,844/139,649
  6. Step 6: Final answer
    x = 650,666.08

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Why These Related Problems?

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