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Finding the Third Proportional to 163,767 and 356,365.50

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Solution

The third proportional to 163,767 and 356,365.50 is: 775,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,767 : 356,365.50 = 356,365.50 : x
  2. Step 2: Convert to fraction form
    163,767/356,365.50 = 356,365.50/x
  3. Step 3: Cross multiply
    163,767x = 356,365.50 × 356,365.50
  4. Step 4: Simplify right side
    163,767x = 126,996,369,590.25
  5. Step 5: Solve for x
    x = 126,996,369,590.25/163,767
  6. Step 6: Final answer
    x = 775,469.84

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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.