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Finding the Third Proportional to 137,772 and 302,648.63

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Solution

The third proportional to 137,772 and 302,648.63 is: 664,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772 : 302,648.63 = 302,648.63 : x
  2. Step 2: Convert to fraction form
    137,772/302,648.63 = 302,648.63/x
  3. Step 3: Cross multiply
    137,772x = 302,648.63 × 302,648.63
  4. Step 4: Simplify right side
    137,772x = 91,596,190,214.39
  5. Step 5: Solve for x
    x = 91,596,190,214.39/137,772
  6. Step 6: Final answer
    x = 664,838.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.