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Finding the Third Proportional to 177,441 and 282,189.50

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Solution

The third proportional to 177,441 and 282,189.50 is: 448,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441 : 282,189.50 = 282,189.50 : x
  2. Step 2: Convert to fraction form
    177,441/282,189.50 = 282,189.50/x
  3. Step 3: Cross multiply
    177,441x = 282,189.50 × 282,189.50
  4. Step 4: Simplify right side
    177,441x = 79,630,913,910.25
  5. Step 5: Solve for x
    x = 79,630,913,910.25/177,441
  6. Step 6: Final answer
    x = 448,774.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.