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Finding the Third Proportional to 163,898.44 and 357,584.63

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Solution

The third proportional to 163,898.44 and 357,584.63 is: 780,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,898.44 : 357,584.63 = 357,584.63 : x
  2. Step 2: Convert to fraction form
    163,898.44/357,584.63 = 357,584.63/x
  3. Step 3: Cross multiply
    163,898.44x = 357,584.63 × 357,584.63
  4. Step 4: Simplify right side
    163,898.44x = 127,866,764,036.39
  5. Step 5: Solve for x
    x = 127,866,764,036.39/163,898.44
  6. Step 6: Final answer
    x = 780,158.53

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