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Finding the Third Proportional to 163,909.50 and 356,661

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Solution

The third proportional to 163,909.50 and 356,661 is: 776,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,909.50 : 356,661 = 356,661 : x
  2. Step 2: Convert to fraction form
    163,909.50/356,661 = 356,661/x
  3. Step 3: Cross multiply
    163,909.50x = 356,661 × 356,661
  4. Step 4: Simplify right side
    163,909.50x = 127,207,068,921
  5. Step 5: Solve for x
    x = 127,207,068,921/163,909.50
  6. Step 6: Final answer
    x = 776,081.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.