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Finding the Third Proportional to 128,359.13 and 286,232.34

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Solution

The third proportional to 128,359.13 and 286,232.34 is: 638,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,359.13 : 286,232.34 = 286,232.34 : x
  2. Step 2: Convert to fraction form
    128,359.13/286,232.34 = 286,232.34/x
  3. Step 3: Cross multiply
    128,359.13x = 286,232.34 × 286,232.34
  4. Step 4: Simplify right side
    128,359.13x = 81,928,954,608.62
  5. Step 5: Solve for x
    x = 81,928,954,608.62/128,359.13
  6. Step 6: Final answer
    x = 638,279.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.