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Finding the Third Proportional to 154,801.50 and 316,162.50

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Solution

The third proportional to 154,801.50 and 316,162.50 is: 645,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,801.50 : 316,162.50 = 316,162.50 : x
  2. Step 2: Convert to fraction form
    154,801.50/316,162.50 = 316,162.50/x
  3. Step 3: Cross multiply
    154,801.50x = 316,162.50 × 316,162.50
  4. Step 4: Simplify right side
    154,801.50x = 99,958,726,406.25
  5. Step 5: Solve for x
    x = 99,958,726,406.25/154,801.50
  6. Step 6: Final answer
    x = 645,721.95

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.