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Finding the Third Proportional to 176,209.50 and 283,724.25

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Solution

The third proportional to 176,209.50 and 283,724.25 is: 456,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,209.50 : 283,724.25 = 283,724.25 : x
  2. Step 2: Convert to fraction form
    176,209.50/283,724.25 = 283,724.25/x
  3. Step 3: Cross multiply
    176,209.50x = 283,724.25 × 283,724.25
  4. Step 4: Simplify right side
    176,209.50x = 80,499,450,038.06
  5. Step 5: Solve for x
    x = 80,499,450,038.06/176,209.50
  6. Step 6: Final answer
    x = 456,839.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.