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Finding the Third Proportional to 227,334 and 344,160

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Solution

The third proportional to 227,334 and 344,160 is: 521,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,334 : 344,160 = 344,160 : x
  2. Step 2: Convert to fraction form
    227,334/344,160 = 344,160/x
  3. Step 3: Cross multiply
    227,334x = 344,160 × 344,160
  4. Step 4: Simplify right side
    227,334x = 118,446,105,600
  5. Step 5: Solve for x
    x = 118,446,105,600/227,334
  6. Step 6: Final answer
    x = 521,022.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.