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Finding the Third Proportional to 154,250 and 312,793

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Solution

The third proportional to 154,250 and 312,793 is: 634,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,250 : 312,793 = 312,793 : x
  2. Step 2: Convert to fraction form
    154,250/312,793 = 312,793/x
  3. Step 3: Cross multiply
    154,250x = 312,793 × 312,793
  4. Step 4: Simplify right side
    154,250x = 97,839,460,849
  5. Step 5: Solve for x
    x = 97,839,460,849/154,250
  6. Step 6: Final answer
    x = 634,291.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.