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Finding the Third Proportional to 235,558.13 and 365,244.19

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Solution

The third proportional to 235,558.13 and 365,244.19 is: 566,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,558.13 : 365,244.19 = 365,244.19 : x
  2. Step 2: Convert to fraction form
    235,558.13/365,244.19 = 365,244.19/x
  3. Step 3: Cross multiply
    235,558.13x = 365,244.19 × 365,244.19
  4. Step 4: Simplify right side
    235,558.13x = 133,403,316,502.54
  5. Step 5: Solve for x
    x = 133,403,316,502.54/235,558.13
  6. Step 6: Final answer
    x = 566,328.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.