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Finding the Third Proportional to 154,252 and 312,797

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Solution

The third proportional to 154,252 and 312,797 is: 634,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,252 : 312,797 = 312,797 : x
  2. Step 2: Convert to fraction form
    154,252/312,797 = 312,797/x
  3. Step 3: Cross multiply
    154,252x = 312,797 × 312,797
  4. Step 4: Simplify right side
    154,252x = 97,841,963,209
  5. Step 5: Solve for x
    x = 97,841,963,209/154,252
  6. Step 6: Final answer
    x = 634,299.48

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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.