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Finding the Third Proportional to 144,028 and 302,672

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Solution

The third proportional to 144,028 and 302,672 is: 636,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,028 : 302,672 = 302,672 : x
  2. Step 2: Convert to fraction form
    144,028/302,672 = 302,672/x
  3. Step 3: Cross multiply
    144,028x = 302,672 × 302,672
  4. Step 4: Simplify right side
    144,028x = 91,610,339,584
  5. Step 5: Solve for x
    x = 91,610,339,584/144,028
  6. Step 6: Final answer
    x = 636,059.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.