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Finding the Third Proportional to 173,272.50 and 380,565

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Solution

The third proportional to 173,272.50 and 380,565 is: 835,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,272.50 : 380,565 = 380,565 : x
  2. Step 2: Convert to fraction form
    173,272.50/380,565 = 380,565/x
  3. Step 3: Cross multiply
    173,272.50x = 380,565 × 380,565
  4. Step 4: Simplify right side
    173,272.50x = 144,829,719,225
  5. Step 5: Solve for x
    x = 144,829,719,225/173,272.50
  6. Step 6: Final answer
    x = 835,849.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.