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Finding the Third Proportional to 231,177 and 348,426

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Solution

The third proportional to 231,177 and 348,426 is: 525,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,177 : 348,426 = 348,426 : x
  2. Step 2: Convert to fraction form
    231,177/348,426 = 348,426/x
  3. Step 3: Cross multiply
    231,177x = 348,426 × 348,426
  4. Step 4: Simplify right side
    231,177x = 121,400,677,476
  5. Step 5: Solve for x
    x = 121,400,677,476/231,177
  6. Step 6: Final answer
    x = 525,141.68

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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.