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Finding the Third Proportional to 133,687 and 297,259

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Solution

The third proportional to 133,687 and 297,259 is: 660,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687 : 297,259 = 297,259 : x
  2. Step 2: Convert to fraction form
    133,687/297,259 = 297,259/x
  3. Step 3: Cross multiply
    133,687x = 297,259 × 297,259
  4. Step 4: Simplify right side
    133,687x = 88,362,913,081
  5. Step 5: Solve for x
    x = 88,362,913,081/133,687
  6. Step 6: Final answer
    x = 660,968.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.