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Finding the Third Proportional to 194,799.94 and 291,422.81

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Solution

The third proportional to 194,799.94 and 291,422.81 is: 435,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,799.94 : 291,422.81 = 291,422.81 : x
  2. Step 2: Convert to fraction form
    194,799.94/291,422.81 = 291,422.81/x
  3. Step 3: Cross multiply
    194,799.94x = 291,422.81 × 291,422.81
  4. Step 4: Simplify right side
    194,799.94x = 84,927,255,645.41
  5. Step 5: Solve for x
    x = 84,927,255,645.41/194,799.94
  6. Step 6: Final answer
    x = 435,971.68

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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.