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Finding the Third Proportional to 182,817 and 277,753.50

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Solution

The third proportional to 182,817 and 277,753.50 is: 421,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,817 : 277,753.50 = 277,753.50 : x
  2. Step 2: Convert to fraction form
    182,817/277,753.50 = 277,753.50/x
  3. Step 3: Cross multiply
    182,817x = 277,753.50 × 277,753.50
  4. Step 4: Simplify right side
    182,817x = 77,147,006,762.25
  5. Step 5: Solve for x
    x = 77,147,006,762.25/182,817
  6. Step 6: Final answer
    x = 421,990.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.