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Finding the Third Proportional to 144,338.63 and 226,420.88

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Solution

The third proportional to 144,338.63 and 226,420.88 is: 355,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,338.63 : 226,420.88 = 226,420.88 : x
  2. Step 2: Convert to fraction form
    144,338.63/226,420.88 = 226,420.88/x
  3. Step 3: Cross multiply
    144,338.63x = 226,420.88 × 226,420.88
  4. Step 4: Simplify right side
    144,338.63x = 51,266,412,635.77
  5. Step 5: Solve for x
    x = 51,266,412,635.77/144,338.63
  6. Step 6: Final answer
    x = 355,181.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.