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Finding the Third Proportional to 134,819.44 and 207,484.03

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Solution

The third proportional to 134,819.44 and 207,484.03 is: 319,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,819.44 : 207,484.03 = 207,484.03 : x
  2. Step 2: Convert to fraction form
    134,819.44/207,484.03 = 207,484.03/x
  3. Step 3: Cross multiply
    134,819.44x = 207,484.03 × 207,484.03
  4. Step 4: Simplify right side
    134,819.44x = 43,049,623,223.75
  5. Step 5: Solve for x
    x = 43,049,623,223.75/134,819.44
  6. Step 6: Final answer
    x = 319,313.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.