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Finding the Third Proportional to 186,821 and 297,413

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Solution

The third proportional to 186,821 and 297,413 is: 473,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821 : 297,413 = 297,413 : x
  2. Step 2: Convert to fraction form
    186,821/297,413 = 297,413/x
  3. Step 3: Cross multiply
    186,821x = 297,413 × 297,413
  4. Step 4: Simplify right side
    186,821x = 88,454,492,569
  5. Step 5: Solve for x
    x = 88,454,492,569/186,821
  6. Step 6: Final answer
    x = 473,471.89

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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.