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Finding the Third Proportional to 216,140 and 465,571

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Solution

The third proportional to 216,140 and 465,571 is: 1,002,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,140 : 465,571 = 465,571 : x
  2. Step 2: Convert to fraction form
    216,140/465,571 = 465,571/x
  3. Step 3: Cross multiply
    216,140x = 465,571 × 465,571
  4. Step 4: Simplify right side
    216,140x = 216,756,356,041
  5. Step 5: Solve for x
    x = 216,756,356,041/216,140
  6. Step 6: Final answer
    x = 1,002,851.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.