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Finding the Third Proportional to 213,106.50 and 330,864.75

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Solution

The third proportional to 213,106.50 and 330,864.75 is: 513,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,106.50 : 330,864.75 = 330,864.75 : x
  2. Step 2: Convert to fraction form
    213,106.50/330,864.75 = 330,864.75/x
  3. Step 3: Cross multiply
    213,106.50x = 330,864.75 × 330,864.75
  4. Step 4: Simplify right side
    213,106.50x = 109,471,482,792.56
  5. Step 5: Solve for x
    x = 109,471,482,792.56/213,106.50
  6. Step 6: Final answer
    x = 513,693.78

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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.