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Finding the Third Proportional to 169,728 and 365,688

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Solution

The third proportional to 169,728 and 365,688 is: 787,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,728 : 365,688 = 365,688 : x
  2. Step 2: Convert to fraction form
    169,728/365,688 = 365,688/x
  3. Step 3: Cross multiply
    169,728x = 365,688 × 365,688
  4. Step 4: Simplify right side
    169,728x = 133,727,713,344
  5. Step 5: Solve for x
    x = 133,727,713,344/169,728
  6. Step 6: Final answer
    x = 787,894.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.