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Finding the Third Proportional to 144,830 and 302,901

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Solution

The third proportional to 144,830 and 302,901 is: 633,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830 : 302,901 = 302,901 : x
  2. Step 2: Convert to fraction form
    144,830/302,901 = 302,901/x
  3. Step 3: Cross multiply
    144,830x = 302,901 × 302,901
  4. Step 4: Simplify right side
    144,830x = 91,749,015,801
  5. Step 5: Solve for x
    x = 91,749,015,801/144,830
  6. Step 6: Final answer
    x = 633,494.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.