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Finding the Third Proportional to 144,820.41 and 302,882.41

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Solution

The third proportional to 144,820.41 and 302,882.41 is: 633,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820.41 : 302,882.41 = 302,882.41 : x
  2. Step 2: Convert to fraction form
    144,820.41/302,882.41 = 302,882.41/x
  3. Step 3: Cross multiply
    144,820.41x = 302,882.41 × 302,882.41
  4. Step 4: Simplify right side
    144,820.41x = 91,737,756,748.33
  5. Step 5: Solve for x
    x = 91,737,756,748.33/144,820.41
  6. Step 6: Final answer
    x = 633,458.77

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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.