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Finding the Third Proportional to 186,813 and 297,401

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Solution

The third proportional to 186,813 and 297,401 is: 473,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813 : 297,401 = 297,401 : x
  2. Step 2: Convert to fraction form
    186,813/297,401 = 297,401/x
  3. Step 3: Cross multiply
    186,813x = 297,401 × 297,401
  4. Step 4: Simplify right side
    186,813x = 88,447,354,801
  5. Step 5: Solve for x
    x = 88,447,354,801/186,813
  6. Step 6: Final answer
    x = 473,453.96

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