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Finding the Third Proportional to 109,831.50 and 164,313

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Solution

The third proportional to 109,831.50 and 164,313 is: 245,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831.50 : 164,313 = 164,313 : x
  2. Step 2: Convert to fraction form
    109,831.50/164,313 = 164,313/x
  3. Step 3: Cross multiply
    109,831.50x = 164,313 × 164,313
  4. Step 4: Simplify right side
    109,831.50x = 26,998,761,969
  5. Step 5: Solve for x
    x = 26,998,761,969/109,831.50
  6. Step 6: Final answer
    x = 245,819.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.