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Finding the Third Proportional to 265,344 and 375,108

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Solution

The third proportional to 265,344 and 375,108 is: 530,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,344 : 375,108 = 375,108 : x
  2. Step 2: Convert to fraction form
    265,344/375,108 = 375,108/x
  3. Step 3: Cross multiply
    265,344x = 375,108 × 375,108
  4. Step 4: Simplify right side
    265,344x = 140,706,011,664
  5. Step 5: Solve for x
    x = 140,706,011,664/265,344
  6. Step 6: Final answer
    x = 530,277.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.