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Finding the Third Proportional to 163,756 and 293,816

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Solution

The third proportional to 163,756 and 293,816 is: 527,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,756 : 293,816 = 293,816 : x
  2. Step 2: Convert to fraction form
    163,756/293,816 = 293,816/x
  3. Step 3: Cross multiply
    163,756x = 293,816 × 293,816
  4. Step 4: Simplify right side
    163,756x = 86,327,841,856
  5. Step 5: Solve for x
    x = 86,327,841,856/163,756
  6. Step 6: Final answer
    x = 527,173.61

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.