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Finding the Third Proportional to 165,999.38 and 249,120.56

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Solution

The third proportional to 165,999.38 and 249,120.56 is: 373,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,999.38 : 249,120.56 = 249,120.56 : x
  2. Step 2: Convert to fraction form
    165,999.38/249,120.56 = 249,120.56/x
  3. Step 3: Cross multiply
    165,999.38x = 249,120.56 × 249,120.56
  4. Step 4: Simplify right side
    165,999.38x = 62,061,054,660.32
  5. Step 5: Solve for x
    x = 62,061,054,660.32/165,999.38
  6. Step 6: Final answer
    x = 373,863.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.