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Finding the Third Proportional to 176,418 and 266,267.25

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Solution

The third proportional to 176,418 and 266,267.25 is: 401,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,418 : 266,267.25 = 266,267.25 : x
  2. Step 2: Convert to fraction form
    176,418/266,267.25 = 266,267.25/x
  3. Step 3: Cross multiply
    176,418x = 266,267.25 × 266,267.25
  4. Step 4: Simplify right side
    176,418x = 70,898,248,422.56
  5. Step 5: Solve for x
    x = 70,898,248,422.56/176,418
  6. Step 6: Final answer
    x = 401,876.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.