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Finding the Third Proportional to 163,766.63 and 356,365.88

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Solution

The third proportional to 163,766.63 and 356,365.88 is: 775,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,766.63 : 356,365.88 = 356,365.88 : x
  2. Step 2: Convert to fraction form
    163,766.63/356,365.88 = 356,365.88/x
  3. Step 3: Cross multiply
    163,766.63x = 356,365.88 × 356,365.88
  4. Step 4: Simplify right side
    163,766.63x = 126,996,636,864.52
  5. Step 5: Solve for x
    x = 126,996,636,864.52/163,766.63
  6. Step 6: Final answer
    x = 775,473.25

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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.