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Finding the Third Proportional to 232,350 and 344,207.25

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Solution

The third proportional to 232,350 and 344,207.25 is: 509,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,350 : 344,207.25 = 344,207.25 : x
  2. Step 2: Convert to fraction form
    232,350/344,207.25 = 344,207.25/x
  3. Step 3: Cross multiply
    232,350x = 344,207.25 × 344,207.25
  4. Step 4: Simplify right side
    232,350x = 118,478,630,952.56
  5. Step 5: Solve for x
    x = 118,478,630,952.56/232,350
  6. Step 6: Final answer
    x = 509,914.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.