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Finding the Third Proportional to 162,442 and 243,664

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Solution

The third proportional to 162,442 and 243,664 is: 365,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,442 : 243,664 = 243,664 : x
  2. Step 2: Convert to fraction form
    162,442/243,664 = 243,664/x
  3. Step 3: Cross multiply
    162,442x = 243,664 × 243,664
  4. Step 4: Simplify right side
    162,442x = 59,372,144,896
  5. Step 5: Solve for x
    x = 59,372,144,896/162,442
  6. Step 6: Final answer
    x = 365,497.50

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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.