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Finding the Third Proportional to 186,817 and 297,405

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Solution

The third proportional to 186,817 and 297,405 is: 473,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,817 : 297,405 = 297,405 : x
  2. Step 2: Convert to fraction form
    186,817/297,405 = 297,405/x
  3. Step 3: Cross multiply
    186,817x = 297,405 × 297,405
  4. Step 4: Simplify right side
    186,817x = 88,449,734,025
  5. Step 5: Solve for x
    x = 88,449,734,025/186,817
  6. Step 6: Final answer
    x = 473,456.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.