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Finding the Third Proportional to 143,775.75 and 302,424.94

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Solution

The third proportional to 143,775.75 and 302,424.94 is: 636,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,775.75 : 302,424.94 = 302,424.94 : x
  2. Step 2: Convert to fraction form
    143,775.75/302,424.94 = 302,424.94/x
  3. Step 3: Cross multiply
    143,775.75x = 302,424.94 × 302,424.94
  4. Step 4: Simplify right side
    143,775.75x = 91,460,842,821.88
  5. Step 5: Solve for x
    x = 91,460,842,821.88/143,775.75
  6. Step 6: Final answer
    x = 636,135.39

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Why These Related Problems?

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