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Finding the Third Proportional to 216,291 and 336,073.50

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Solution

The third proportional to 216,291 and 336,073.50 is: 522,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,291 : 336,073.50 = 336,073.50 : x
  2. Step 2: Convert to fraction form
    216,291/336,073.50 = 336,073.50/x
  3. Step 3: Cross multiply
    216,291x = 336,073.50 × 336,073.50
  4. Step 4: Simplify right side
    216,291x = 112,945,397,402.25
  5. Step 5: Solve for x
    x = 112,945,397,402.25/216,291
  6. Step 6: Final answer
    x = 522,191.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.