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Finding the Third Proportional to 245,860 and 371,051

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Solution

The third proportional to 245,860 and 371,051 is: 559,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,860 : 371,051 = 371,051 : x
  2. Step 2: Convert to fraction form
    245,860/371,051 = 371,051/x
  3. Step 3: Cross multiply
    245,860x = 371,051 × 371,051
  4. Step 4: Simplify right side
    245,860x = 137,678,844,601
  5. Step 5: Solve for x
    x = 137,678,844,601/245,860
  6. Step 6: Final answer
    x = 559,988.79

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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.