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Finding the Third Proportional to 119,749.50 and 199,574.25

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Solution

The third proportional to 119,749.50 and 199,574.25 is: 332,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,749.50 : 199,574.25 = 199,574.25 : x
  2. Step 2: Convert to fraction form
    119,749.50/199,574.25 = 199,574.25/x
  3. Step 3: Cross multiply
    119,749.50x = 199,574.25 × 199,574.25
  4. Step 4: Simplify right side
    119,749.50x = 39,829,881,263.06
  5. Step 5: Solve for x
    x = 39,829,881,263.06/119,749.50
  6. Step 6: Final answer
    x = 332,610.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.