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Finding the Third Proportional to 216,113.50 and 465,518

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Solution

The third proportional to 216,113.50 and 465,518 is: 1,002,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,113.50 : 465,518 = 465,518 : x
  2. Step 2: Convert to fraction form
    216,113.50/465,518 = 465,518/x
  3. Step 3: Cross multiply
    216,113.50x = 465,518 × 465,518
  4. Step 4: Simplify right side
    216,113.50x = 216,707,008,324
  5. Step 5: Solve for x
    x = 216,707,008,324/216,113.50
  6. Step 6: Final answer
    x = 1,002,746.28

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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.