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Finding the Third Proportional to 163,092 and 305,704

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Solution

The third proportional to 163,092 and 305,704 is: 573,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,092 : 305,704 = 305,704 : x
  2. Step 2: Convert to fraction form
    163,092/305,704 = 305,704/x
  3. Step 3: Cross multiply
    163,092x = 305,704 × 305,704
  4. Step 4: Simplify right side
    163,092x = 93,454,935,616
  5. Step 5: Solve for x
    x = 93,454,935,616/163,092
  6. Step 6: Final answer
    x = 573,019.74

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.