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Finding the Third Proportional to 245,857 and 371,047

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Solution

The third proportional to 245,857 and 371,047 is: 559,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,857 : 371,047 = 371,047 : x
  2. Step 2: Convert to fraction form
    245,857/371,047 = 371,047/x
  3. Step 3: Cross multiply
    245,857x = 371,047 × 371,047
  4. Step 4: Simplify right side
    245,857x = 137,675,876,209
  5. Step 5: Solve for x
    x = 137,675,876,209/245,857
  6. Step 6: Final answer
    x = 559,983.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.