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Finding the Third Proportional to 162,784 and 350,108

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Solution

The third proportional to 162,784 and 350,108 is: 752,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784 : 350,108 = 350,108 : x
  2. Step 2: Convert to fraction form
    162,784/350,108 = 350,108/x
  3. Step 3: Cross multiply
    162,784x = 350,108 × 350,108
  4. Step 4: Simplify right side
    162,784x = 122,575,611,664
  5. Step 5: Solve for x
    x = 122,575,611,664/162,784
  6. Step 6: Final answer
    x = 752,995.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.