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Finding the Third Proportional to 165,007.50 and 247,875

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Solution

The third proportional to 165,007.50 and 247,875 is: 372,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,007.50 : 247,875 = 247,875 : x
  2. Step 2: Convert to fraction form
    165,007.50/247,875 = 247,875/x
  3. Step 3: Cross multiply
    165,007.50x = 247,875 × 247,875
  4. Step 4: Simplify right side
    165,007.50x = 61,442,015,625
  5. Step 5: Solve for x
    x = 61,442,015,625/165,007.50
  6. Step 6: Final answer
    x = 372,358.93

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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.