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Finding the Third Proportional to 247,947 and 368,275.50

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Solution

The third proportional to 247,947 and 368,275.50 is: 546,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,947 : 368,275.50 = 368,275.50 : x
  2. Step 2: Convert to fraction form
    247,947/368,275.50 = 368,275.50/x
  3. Step 3: Cross multiply
    247,947x = 368,275.50 × 368,275.50
  4. Step 4: Simplify right side
    247,947x = 135,626,843,900.25
  5. Step 5: Solve for x
    x = 135,626,843,900.25/247,947
  6. Step 6: Final answer
    x = 546,999.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.