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Finding the Third Proportional to 191,314 and 276,559

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Solution

The third proportional to 191,314 and 276,559 is: 399,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,314 : 276,559 = 276,559 : x
  2. Step 2: Convert to fraction form
    191,314/276,559 = 276,559/x
  3. Step 3: Cross multiply
    191,314x = 276,559 × 276,559
  4. Step 4: Simplify right side
    191,314x = 76,484,880,481
  5. Step 5: Solve for x
    x = 76,484,880,481/191,314
  6. Step 6: Final answer
    x = 399,787.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.