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Finding the Third Proportional to 216,583 and 333,332

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Solution

The third proportional to 216,583 and 333,332 is: 513,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,583 : 333,332 = 333,332 : x
  2. Step 2: Convert to fraction form
    216,583/333,332 = 333,332/x
  3. Step 3: Cross multiply
    216,583x = 333,332 × 333,332
  4. Step 4: Simplify right side
    216,583x = 111,110,222,224
  5. Step 5: Solve for x
    x = 111,110,222,224/216,583
  6. Step 6: Final answer
    x = 513,014.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.