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Finding the Third Proportional to 172,050.75 and 371,776.50

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Solution

The third proportional to 172,050.75 and 371,776.50 is: 803,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,050.75 : 371,776.50 = 371,776.50 : x
  2. Step 2: Convert to fraction form
    172,050.75/371,776.50 = 371,776.50/x
  3. Step 3: Cross multiply
    172,050.75x = 371,776.50 × 371,776.50
  4. Step 4: Simplify right side
    172,050.75x = 138,217,765,952.25
  5. Step 5: Solve for x
    x = 138,217,765,952.25/172,050.75
  6. Step 6: Final answer
    x = 803,354.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.