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Finding the Third Proportional to 176,220.56 and 268,461.84

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Solution

The third proportional to 176,220.56 and 268,461.84 is: 408,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,220.56 : 268,461.84 = 268,461.84 : x
  2. Step 2: Convert to fraction form
    176,220.56/268,461.84 = 268,461.84/x
  3. Step 3: Cross multiply
    176,220.56x = 268,461.84 × 268,461.84
  4. Step 4: Simplify right side
    176,220.56x = 72,071,761,549.65
  5. Step 5: Solve for x
    x = 72,071,761,549.65/176,220.56
  6. Step 6: Final answer
    x = 408,986.11

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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.