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Finding the Third Proportional to 174,774 and 261,537

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Solution

The third proportional to 174,774 and 261,537 is: 391,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,774 : 261,537 = 261,537 : x
  2. Step 2: Convert to fraction form
    174,774/261,537 = 261,537/x
  3. Step 3: Cross multiply
    174,774x = 261,537 × 261,537
  4. Step 4: Simplify right side
    174,774x = 68,401,602,369
  5. Step 5: Solve for x
    x = 68,401,602,369/174,774
  6. Step 6: Final answer
    x = 391,371.73

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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.