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Finding the Third Proportional to 150,876 and 314,026.88

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Solution

The third proportional to 150,876 and 314,026.88 is: 653,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,876 : 314,026.88 = 314,026.88 : x
  2. Step 2: Convert to fraction form
    150,876/314,026.88 = 314,026.88/x
  3. Step 3: Cross multiply
    150,876x = 314,026.88 × 314,026.88
  4. Step 4: Simplify right side
    150,876x = 98,612,878,222.27
  5. Step 5: Solve for x
    x = 98,612,878,222.27/150,876
  6. Step 6: Final answer
    x = 653,602.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.