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Finding the Third Proportional to 157,249 and 209,502

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Solution

The third proportional to 157,249 and 209,502 is: 279,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,249 : 209,502 = 209,502 : x
  2. Step 2: Convert to fraction form
    157,249/209,502 = 209,502/x
  3. Step 3: Cross multiply
    157,249x = 209,502 × 209,502
  4. Step 4: Simplify right side
    157,249x = 43,891,088,004
  5. Step 5: Solve for x
    x = 43,891,088,004/157,249
  6. Step 6: Final answer
    x = 279,118.39

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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.