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Finding the Third Proportional to 162,005 and 243,044

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Solution

The third proportional to 162,005 and 243,044 is: 364,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005 : 243,044 = 243,044 : x
  2. Step 2: Convert to fraction form
    162,005/243,044 = 243,044/x
  3. Step 3: Cross multiply
    162,005x = 243,044 × 243,044
  4. Step 4: Simplify right side
    162,005x = 59,070,385,936
  5. Step 5: Solve for x
    x = 59,070,385,936/162,005
  6. Step 6: Final answer
    x = 364,620.76

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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.