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Finding the Third Proportional to 194,377.50 and 317,403

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Solution

The third proportional to 194,377.50 and 317,403 is: 518,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,377.50 : 317,403 = 317,403 : x
  2. Step 2: Convert to fraction form
    194,377.50/317,403 = 317,403/x
  3. Step 3: Cross multiply
    194,377.50x = 317,403 × 317,403
  4. Step 4: Simplify right side
    194,377.50x = 100,744,664,409
  5. Step 5: Solve for x
    x = 100,744,664,409/194,377.50
  6. Step 6: Final answer
    x = 518,293.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.