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Finding the Third Proportional to 73,722.38 and 173,302.88

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Solution

The third proportional to 73,722.38 and 173,302.88 is: 407,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722.38 : 173,302.88 = 173,302.88 : x
  2. Step 2: Convert to fraction form
    73,722.38/173,302.88 = 173,302.88/x
  3. Step 3: Cross multiply
    73,722.38x = 173,302.88 × 173,302.88
  4. Step 4: Simplify right side
    73,722.38x = 30,033,886,483.27
  5. Step 5: Solve for x
    x = 30,033,886,483.27/73,722.38
  6. Step 6: Final answer
    x = 407,391.74

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.