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Finding the Third Proportional to 194,215 and 423,735

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Solution

The third proportional to 194,215 and 423,735 is: 924,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,215 : 423,735 = 423,735 : x
  2. Step 2: Convert to fraction form
    194,215/423,735 = 423,735/x
  3. Step 3: Cross multiply
    194,215x = 423,735 × 423,735
  4. Step 4: Simplify right side
    194,215x = 179,551,350,225
  5. Step 5: Solve for x
    x = 179,551,350,225/194,215
  6. Step 6: Final answer
    x = 924,497.85

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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.