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Finding the Third Proportional to 247,095 and 369,535.50

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Solution

The third proportional to 247,095 and 369,535.50 is: 552,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,095 : 369,535.50 = 369,535.50 : x
  2. Step 2: Convert to fraction form
    247,095/369,535.50 = 369,535.50/x
  3. Step 3: Cross multiply
    247,095x = 369,535.50 × 369,535.50
  4. Step 4: Simplify right side
    247,095x = 136,556,485,760.25
  5. Step 5: Solve for x
    x = 136,556,485,760.25/247,095
  6. Step 6: Final answer
    x = 552,647.71

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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.