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Finding the Third Proportional to 245,146 and 337,596

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Solution

The third proportional to 245,146 and 337,596 is: 464,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,146 : 337,596 = 337,596 : x
  2. Step 2: Convert to fraction form
    245,146/337,596 = 337,596/x
  3. Step 3: Cross multiply
    245,146x = 337,596 × 337,596
  4. Step 4: Simplify right side
    245,146x = 113,971,059,216
  5. Step 5: Solve for x
    x = 113,971,059,216/245,146
  6. Step 6: Final answer
    x = 464,910.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.