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Finding the Third Proportional to 169,616 and 230,355

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Solution

The third proportional to 169,616 and 230,355 is: 312,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,616 : 230,355 = 230,355 : x
  2. Step 2: Convert to fraction form
    169,616/230,355 = 230,355/x
  3. Step 3: Cross multiply
    169,616x = 230,355 × 230,355
  4. Step 4: Simplify right side
    169,616x = 53,063,426,025
  5. Step 5: Solve for x
    x = 53,063,426,025/169,616
  6. Step 6: Final answer
    x = 312,844.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.