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Finding the Third Proportional to 176,291 and 268,564.50

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Solution

The third proportional to 176,291 and 268,564.50 is: 409,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,291 : 268,564.50 = 268,564.50 : x
  2. Step 2: Convert to fraction form
    176,291/268,564.50 = 268,564.50/x
  3. Step 3: Cross multiply
    176,291x = 268,564.50 × 268,564.50
  4. Step 4: Simplify right side
    176,291x = 72,126,890,660.25
  5. Step 5: Solve for x
    x = 72,126,890,660.25/176,291
  6. Step 6: Final answer
    x = 409,135.41

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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.