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Finding the Third Proportional to 190,698.75 and 423,218.25

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Solution

The third proportional to 190,698.75 and 423,218.25 is: 939,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,698.75 : 423,218.25 = 423,218.25 : x
  2. Step 2: Convert to fraction form
    190,698.75/423,218.25 = 423,218.25/x
  3. Step 3: Cross multiply
    190,698.75x = 423,218.25 × 423,218.25
  4. Step 4: Simplify right side
    190,698.75x = 179,113,687,133.06
  5. Step 5: Solve for x
    x = 179,113,687,133.06/190,698.75
  6. Step 6: Final answer
    x = 939,249.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.