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Finding the Third Proportional to 253,831.50 and 380,796

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Solution

The third proportional to 253,831.50 and 380,796 is: 571,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,831.50 : 380,796 = 380,796 : x
  2. Step 2: Convert to fraction form
    253,831.50/380,796 = 380,796/x
  3. Step 3: Cross multiply
    253,831.50x = 380,796 × 380,796
  4. Step 4: Simplify right side
    253,831.50x = 145,005,593,616
  5. Step 5: Solve for x
    x = 145,005,593,616/253,831.50
  6. Step 6: Final answer
    x = 571,267.13

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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.