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Finding the Third Proportional to 163,444.50 and 356,778

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Solution

The third proportional to 163,444.50 and 356,778 is: 778,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,444.50 : 356,778 = 356,778 : x
  2. Step 2: Convert to fraction form
    163,444.50/356,778 = 356,778/x
  3. Step 3: Cross multiply
    163,444.50x = 356,778 × 356,778
  4. Step 4: Simplify right side
    163,444.50x = 127,290,541,284
  5. Step 5: Solve for x
    x = 127,290,541,284/163,444.50
  6. Step 6: Final answer
    x = 778,799.78

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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.