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Finding the Third Proportional to 176,504.25 and 386,701.88

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Solution

The third proportional to 176,504.25 and 386,701.88 is: 847,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,504.25 : 386,701.88 = 386,701.88 : x
  2. Step 2: Convert to fraction form
    176,504.25/386,701.88 = 386,701.88/x
  3. Step 3: Cross multiply
    176,504.25x = 386,701.88 × 386,701.88
  4. Step 4: Simplify right side
    176,504.25x = 149,538,340,128.52
  5. Step 5: Solve for x
    x = 149,538,340,128.52/176,504.25
  6. Step 6: Final answer
    x = 847,222.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.