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Finding the Third Proportional to 119,598 and 253,774

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Solution

The third proportional to 119,598 and 253,774 is: 538,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,598 : 253,774 = 253,774 : x
  2. Step 2: Convert to fraction form
    119,598/253,774 = 253,774/x
  3. Step 3: Cross multiply
    119,598x = 253,774 × 253,774
  4. Step 4: Simplify right side
    119,598x = 64,401,243,076
  5. Step 5: Solve for x
    x = 64,401,243,076/119,598
  6. Step 6: Final answer
    x = 538,480.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.