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Finding the Third Proportional to 151,408 and 328,573

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Solution

The third proportional to 151,408 and 328,573 is: 713,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,408 : 328,573 = 328,573 : x
  2. Step 2: Convert to fraction form
    151,408/328,573 = 328,573/x
  3. Step 3: Cross multiply
    151,408x = 328,573 × 328,573
  4. Step 4: Simplify right side
    151,408x = 107,960,216,329
  5. Step 5: Solve for x
    x = 107,960,216,329/151,408
  6. Step 6: Final answer
    x = 713,041.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.