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Finding the Third Proportional to 162,362 and 242,883

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Solution

The third proportional to 162,362 and 242,883 is: 363,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,362 : 242,883 = 242,883 : x
  2. Step 2: Convert to fraction form
    162,362/242,883 = 242,883/x
  3. Step 3: Cross multiply
    162,362x = 242,883 × 242,883
  4. Step 4: Simplify right side
    162,362x = 58,992,151,689
  5. Step 5: Solve for x
    x = 58,992,151,689/162,362
  6. Step 6: Final answer
    x = 363,337.18

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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.