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Finding the Third Proportional to 128,729.25 and 269,228.81

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Solution

The third proportional to 128,729.25 and 269,228.81 is: 563,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,729.25 : 269,228.81 = 269,228.81 : x
  2. Step 2: Convert to fraction form
    128,729.25/269,228.81 = 269,228.81/x
  3. Step 3: Cross multiply
    128,729.25x = 269,228.81 × 269,228.81
  4. Step 4: Simplify right side
    128,729.25x = 72,484,153,480.16
  5. Step 5: Solve for x
    x = 72,484,153,480.16/128,729.25
  6. Step 6: Final answer
    x = 563,074.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.