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Finding the Third Proportional to 194,712 and 284,409

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Solution

The third proportional to 194,712 and 284,409 is: 415,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,712 : 284,409 = 284,409 : x
  2. Step 2: Convert to fraction form
    194,712/284,409 = 284,409/x
  3. Step 3: Cross multiply
    194,712x = 284,409 × 284,409
  4. Step 4: Simplify right side
    194,712x = 80,888,479,281
  5. Step 5: Solve for x
    x = 80,888,479,281/194,712
  6. Step 6: Final answer
    x = 415,426.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.