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Finding the Third Proportional to 144,339.19 and 207,914.63

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Solution

The third proportional to 144,339.19 and 207,914.63 is: 299,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,339.19 : 207,914.63 = 207,914.63 : x
  2. Step 2: Convert to fraction form
    144,339.19/207,914.63 = 207,914.63/x
  3. Step 3: Cross multiply
    144,339.19x = 207,914.63 × 207,914.63
  4. Step 4: Simplify right side
    144,339.19x = 43,228,491,288.89
  5. Step 5: Solve for x
    x = 43,228,491,288.89/144,339.19
  6. Step 6: Final answer
    x = 299,492.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.