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Finding the Third Proportional to 137,466 and 297,324

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Solution

The third proportional to 137,466 and 297,324 is: 643,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,466 : 297,324 = 297,324 : x
  2. Step 2: Convert to fraction form
    137,466/297,324 = 297,324/x
  3. Step 3: Cross multiply
    137,466x = 297,324 × 297,324
  4. Step 4: Simplify right side
    137,466x = 88,401,560,976
  5. Step 5: Solve for x
    x = 88,401,560,976/137,466
  6. Step 6: Final answer
    x = 643,079.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.