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Finding the Third Proportional to 143,061.19 and 226,486.13

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Solution

The third proportional to 143,061.19 and 226,486.13 is: 358,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,061.19 : 226,486.13 = 226,486.13 : x
  2. Step 2: Convert to fraction form
    143,061.19/226,486.13 = 226,486.13/x
  3. Step 3: Cross multiply
    143,061.19x = 226,486.13 × 226,486.13
  4. Step 4: Simplify right side
    143,061.19x = 51,295,964,817.52
  5. Step 5: Solve for x
    x = 51,295,964,817.52/143,061.19
  6. Step 6: Final answer
    x = 358,559.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.