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Finding the Third Proportional to 230,408 and 329,484

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Solution

The third proportional to 230,408 and 329,484 is: 471,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408 : 329,484 = 329,484 : x
  2. Step 2: Convert to fraction form
    230,408/329,484 = 329,484/x
  3. Step 3: Cross multiply
    230,408x = 329,484 × 329,484
  4. Step 4: Simplify right side
    230,408x = 108,559,706,256
  5. Step 5: Solve for x
    x = 108,559,706,256/230,408
  6. Step 6: Final answer
    x = 471,162.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.