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Finding the Third Proportional to 245,394 and 366,625

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Solution

The third proportional to 245,394 and 366,625 is: 547,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,394 : 366,625 = 366,625 : x
  2. Step 2: Convert to fraction form
    245,394/366,625 = 366,625/x
  3. Step 3: Cross multiply
    245,394x = 366,625 × 366,625
  4. Step 4: Simplify right side
    245,394x = 134,413,890,625
  5. Step 5: Solve for x
    x = 134,413,890,625/245,394
  6. Step 6: Final answer
    x = 547,747.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.