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Finding the Third Proportional to 144,874.13 and 230,523.19

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Solution

The third proportional to 144,874.13 and 230,523.19 is: 366,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,874.13 : 230,523.19 = 230,523.19 : x
  2. Step 2: Convert to fraction form
    144,874.13/230,523.19 = 230,523.19/x
  3. Step 3: Cross multiply
    144,874.13x = 230,523.19 × 230,523.19
  4. Step 4: Simplify right side
    144,874.13x = 53,140,939,975.16
  5. Step 5: Solve for x
    x = 53,140,939,975.16/144,874.13
  6. Step 6: Final answer
    x = 366,807.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.