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Finding the Third Proportional to 174,594 and 261,603

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Solution

The third proportional to 174,594 and 261,603 is: 391,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,594 : 261,603 = 261,603 : x
  2. Step 2: Convert to fraction form
    174,594/261,603 = 261,603/x
  3. Step 3: Cross multiply
    174,594x = 261,603 × 261,603
  4. Step 4: Simplify right side
    174,594x = 68,436,129,609
  5. Step 5: Solve for x
    x = 68,436,129,609/174,594
  6. Step 6: Final answer
    x = 391,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.