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Finding the Third Proportional to 142,593 and 199,365.75

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Solution

The third proportional to 142,593 and 199,365.75 is: 278,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,593 : 199,365.75 = 199,365.75 : x
  2. Step 2: Convert to fraction form
    142,593/199,365.75 = 199,365.75/x
  3. Step 3: Cross multiply
    142,593x = 199,365.75 × 199,365.75
  4. Step 4: Simplify right side
    142,593x = 39,746,702,273.06
  5. Step 5: Solve for x
    x = 39,746,702,273.06/142,593
  6. Step 6: Final answer
    x = 278,742.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.