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Finding the Third Proportional to 162,012 and 243,015

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Solution

The third proportional to 162,012 and 243,015 is: 364,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,012 : 243,015 = 243,015 : x
  2. Step 2: Convert to fraction form
    162,012/243,015 = 243,015/x
  3. Step 3: Cross multiply
    162,012x = 243,015 × 243,015
  4. Step 4: Simplify right side
    162,012x = 59,056,290,225
  5. Step 5: Solve for x
    x = 59,056,290,225/162,012
  6. Step 6: Final answer
    x = 364,518.00

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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.