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Finding the Third Proportional to 162,382 and 242,912

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Solution

The third proportional to 162,382 and 242,912 is: 363,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,382 : 242,912 = 242,912 : x
  2. Step 2: Convert to fraction form
    162,382/242,912 = 242,912/x
  3. Step 3: Cross multiply
    162,382x = 242,912 × 242,912
  4. Step 4: Simplify right side
    162,382x = 59,006,239,744
  5. Step 5: Solve for x
    x = 59,006,239,744/162,382
  6. Step 6: Final answer
    x = 363,379.19

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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.