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Finding the Third Proportional to 237,960 and 343,810

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Solution

The third proportional to 237,960 and 343,810 is: 496,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,960 : 343,810 = 343,810 : x
  2. Step 2: Convert to fraction form
    237,960/343,810 = 343,810/x
  3. Step 3: Cross multiply
    237,960x = 343,810 × 343,810
  4. Step 4: Simplify right side
    237,960x = 118,205,316,100
  5. Step 5: Solve for x
    x = 118,205,316,100/237,960
  6. Step 6: Final answer
    x = 496,744.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.