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Finding the Third Proportional to 194,551.88 and 423,191.25

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Solution

The third proportional to 194,551.88 and 423,191.25 is: 920,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.88 : 423,191.25 = 423,191.25 : x
  2. Step 2: Convert to fraction form
    194,551.88/423,191.25 = 423,191.25/x
  3. Step 3: Cross multiply
    194,551.88x = 423,191.25 × 423,191.25
  4. Step 4: Simplify right side
    194,551.88x = 179,090,834,076.56
  5. Step 5: Solve for x
    x = 179,090,834,076.56/194,551.88
  6. Step 6: Final answer
    x = 920,529.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.