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Finding the Third Proportional to 199,627.50 and 458,163

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Solution

The third proportional to 199,627.50 and 458,163 is: 1,051,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627.50 : 458,163 = 458,163 : x
  2. Step 2: Convert to fraction form
    199,627.50/458,163 = 458,163/x
  3. Step 3: Cross multiply
    199,627.50x = 458,163 × 458,163
  4. Step 4: Simplify right side
    199,627.50x = 209,913,334,569
  5. Step 5: Solve for x
    x = 209,913,334,569/199,627.50
  6. Step 6: Final answer
    x = 1,051,525.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.