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Finding the Third Proportional to 72,408 and 160,368

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Solution

The third proportional to 72,408 and 160,368 is: 355,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408 : 160,368 = 160,368 : x
  2. Step 2: Convert to fraction form
    72,408/160,368 = 160,368/x
  3. Step 3: Cross multiply
    72,408x = 160,368 × 160,368
  4. Step 4: Simplify right side
    72,408x = 25,717,895,424
  5. Step 5: Solve for x
    x = 25,717,895,424/72,408
  6. Step 6: Final answer
    x = 355,180.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.