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Finding the Third Proportional to 194,116 and 411,560

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Solution

The third proportional to 194,116 and 411,560 is: 872,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,116 : 411,560 = 411,560 : x
  2. Step 2: Convert to fraction form
    194,116/411,560 = 411,560/x
  3. Step 3: Cross multiply
    194,116x = 411,560 × 411,560
  4. Step 4: Simplify right side
    194,116x = 169,381,633,600
  5. Step 5: Solve for x
    x = 169,381,633,600/194,116
  6. Step 6: Final answer
    x = 872,579.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.