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Finding the Third Proportional to 137,088 and 297,344

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Solution

The third proportional to 137,088 and 297,344 is: 644,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,088 : 297,344 = 297,344 : x
  2. Step 2: Convert to fraction form
    137,088/297,344 = 297,344/x
  3. Step 3: Cross multiply
    137,088x = 297,344 × 297,344
  4. Step 4: Simplify right side
    137,088x = 88,413,454,336
  5. Step 5: Solve for x
    x = 88,413,454,336/137,088
  6. Step 6: Final answer
    x = 644,939.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.