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Finding the Third Proportional to 149,850 and 207,603

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Solution

The third proportional to 149,850 and 207,603 is: 287,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 207,603 = 207,603 : x
  2. Step 2: Convert to fraction form
    149,850/207,603 = 207,603/x
  3. Step 3: Cross multiply
    149,850x = 207,603 × 207,603
  4. Step 4: Simplify right side
    149,850x = 43,099,005,609
  5. Step 5: Solve for x
    x = 43,099,005,609/149,850
  6. Step 6: Final answer
    x = 287,614.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.