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Finding the Third Proportional to 201,860.50 and 293,394.50

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Solution

The third proportional to 201,860.50 and 293,394.50 is: 426,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,860.50 : 293,394.50 = 293,394.50 : x
  2. Step 2: Convert to fraction form
    201,860.50/293,394.50 = 293,394.50/x
  3. Step 3: Cross multiply
    201,860.50x = 293,394.50 × 293,394.50
  4. Step 4: Simplify right side
    201,860.50x = 86,080,332,630.25
  5. Step 5: Solve for x
    x = 86,080,332,630.25/201,860.50
  6. Step 6: Final answer
    x = 426,434.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.