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Finding the Third Proportional to 144,760.13 and 208,835.72

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Solution

The third proportional to 144,760.13 and 208,835.72 is: 301,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,760.13 : 208,835.72 = 208,835.72 : x
  2. Step 2: Convert to fraction form
    144,760.13/208,835.72 = 208,835.72/x
  3. Step 3: Cross multiply
    144,760.13x = 208,835.72 × 208,835.72
  4. Step 4: Simplify right side
    144,760.13x = 43,612,357,425.83
  5. Step 5: Solve for x
    x = 43,612,357,425.83/144,760.13
  6. Step 6: Final answer
    x = 301,273.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.