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Finding the Third Proportional to 165,528.56 and 223,552.41

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Solution

The third proportional to 165,528.56 and 223,552.41 is: 301,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,528.56 : 223,552.41 = 223,552.41 : x
  2. Step 2: Convert to fraction form
    165,528.56/223,552.41 = 223,552.41/x
  3. Step 3: Cross multiply
    165,528.56x = 223,552.41 × 223,552.41
  4. Step 4: Simplify right side
    165,528.56x = 49,975,678,340.17
  5. Step 5: Solve for x
    x = 49,975,678,340.17/165,528.56
  6. Step 6: Final answer
    x = 301,915.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.