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Finding the Third Proportional to 201,558 and 304,605

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Solution

The third proportional to 201,558 and 304,605 is: 460,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,558 : 304,605 = 304,605 : x
  2. Step 2: Convert to fraction form
    201,558/304,605 = 304,605/x
  3. Step 3: Cross multiply
    201,558x = 304,605 × 304,605
  4. Step 4: Simplify right side
    201,558x = 92,784,206,025
  5. Step 5: Solve for x
    x = 92,784,206,025/201,558
  6. Step 6: Final answer
    x = 460,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.