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Finding the Third Proportional to 176,574 and 268,941

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Solution

The third proportional to 176,574 and 268,941 is: 409,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,574 : 268,941 = 268,941 : x
  2. Step 2: Convert to fraction form
    176,574/268,941 = 268,941/x
  3. Step 3: Cross multiply
    176,574x = 268,941 × 268,941
  4. Step 4: Simplify right side
    176,574x = 72,329,261,481
  5. Step 5: Solve for x
    x = 72,329,261,481/176,574
  6. Step 6: Final answer
    x = 409,625.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.