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Finding the Third Proportional to 136,317 and 297,906

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Solution

The third proportional to 136,317 and 297,906 is: 651,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,317 : 297,906 = 297,906 : x
  2. Step 2: Convert to fraction form
    136,317/297,906 = 297,906/x
  3. Step 3: Cross multiply
    136,317x = 297,906 × 297,906
  4. Step 4: Simplify right side
    136,317x = 88,747,984,836
  5. Step 5: Solve for x
    x = 88,747,984,836/136,317
  6. Step 6: Final answer
    x = 651,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.