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Finding the Third Proportional to 133,604 and 310,650

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Solution

The third proportional to 133,604 and 310,650 is: 722,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604 : 310,650 = 310,650 : x
  2. Step 2: Convert to fraction form
    133,604/310,650 = 310,650/x
  3. Step 3: Cross multiply
    133,604x = 310,650 × 310,650
  4. Step 4: Simplify right side
    133,604x = 96,503,422,500
  5. Step 5: Solve for x
    x = 96,503,422,500/133,604
  6. Step 6: Final answer
    x = 722,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.