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Finding the Third Proportional to 162,360 and 242,880

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Solution

The third proportional to 162,360 and 242,880 is: 363,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,360 : 242,880 = 242,880 : x
  2. Step 2: Convert to fraction form
    162,360/242,880 = 242,880/x
  3. Step 3: Cross multiply
    162,360x = 242,880 × 242,880
  4. Step 4: Simplify right side
    162,360x = 58,990,694,400
  5. Step 5: Solve for x
    x = 58,990,694,400/162,360
  6. Step 6: Final answer
    x = 363,332.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.