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Finding the Third Proportional to 143,070 and 226,494

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Solution

The third proportional to 143,070 and 226,494 is: 358,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070 : 226,494 = 226,494 : x
  2. Step 2: Convert to fraction form
    143,070/226,494 = 226,494/x
  3. Step 3: Cross multiply
    143,070x = 226,494 × 226,494
  4. Step 4: Simplify right side
    143,070x = 51,299,532,036
  5. Step 5: Solve for x
    x = 51,299,532,036/143,070
  6. Step 6: Final answer
    x = 358,562.47

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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.