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Finding the Third Proportional to 154,792.69 and 316,146.38

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Solution

The third proportional to 154,792.69 and 316,146.38 is: 645,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,792.69 : 316,146.38 = 316,146.38 : x
  2. Step 2: Convert to fraction form
    154,792.69/316,146.38 = 316,146.38/x
  3. Step 3: Cross multiply
    154,792.69x = 316,146.38 × 316,146.38
  4. Step 4: Simplify right side
    154,792.69x = 99,948,530,425.64
  5. Step 5: Solve for x
    x = 99,948,530,425.64/154,792.69
  6. Step 6: Final answer
    x = 645,692.84

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Why These Related Problems?

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