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Finding the Third Proportional to 169,875 and 369,640.50

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Solution

The third proportional to 169,875 and 369,640.50 is: 804,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,875 : 369,640.50 = 369,640.50 : x
  2. Step 2: Convert to fraction form
    169,875/369,640.50 = 369,640.50/x
  3. Step 3: Cross multiply
    169,875x = 369,640.50 × 369,640.50
  4. Step 4: Simplify right side
    169,875x = 136,634,099,240.25
  5. Step 5: Solve for x
    x = 136,634,099,240.25/169,875
  6. Step 6: Final answer
    x = 804,321.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.