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Finding the Third Proportional to 162,441 and 248,269.50

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Solution

The third proportional to 162,441 and 248,269.50 is: 379,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,441 : 248,269.50 = 248,269.50 : x
  2. Step 2: Convert to fraction form
    162,441/248,269.50 = 248,269.50/x
  3. Step 3: Cross multiply
    162,441x = 248,269.50 × 248,269.50
  4. Step 4: Simplify right side
    162,441x = 61,637,744,630.25
  5. Step 5: Solve for x
    x = 61,637,744,630.25/162,441
  6. Step 6: Final answer
    x = 379,446.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.