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Finding the Third Proportional to 157,244.63 and 209,496.38

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Solution

The third proportional to 157,244.63 and 209,496.38 is: 279,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,244.63 : 209,496.38 = 209,496.38 : x
  2. Step 2: Convert to fraction form
    157,244.63/209,496.38 = 209,496.38/x
  3. Step 3: Cross multiply
    157,244.63x = 209,496.38 × 209,496.38
  4. Step 4: Simplify right side
    157,244.63x = 43,888,731,138.14
  5. Step 5: Solve for x
    x = 43,888,731,138.14/157,244.63
  6. Step 6: Final answer
    x = 279,111.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.