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Finding the Third Proportional to 216,472.50 and 322,400.25

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Solution

The third proportional to 216,472.50 and 322,400.25 is: 480,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,472.50 : 322,400.25 = 322,400.25 : x
  2. Step 2: Convert to fraction form
    216,472.50/322,400.25 = 322,400.25/x
  3. Step 3: Cross multiply
    216,472.50x = 322,400.25 × 322,400.25
  4. Step 4: Simplify right side
    216,472.50x = 103,941,921,200.06
  5. Step 5: Solve for x
    x = 103,941,921,200.06/216,472.50
  6. Step 6: Final answer
    x = 480,162.24

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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.