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Finding the Third Proportional to 201,511.13 and 424,892.25

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Solution

The third proportional to 201,511.13 and 424,892.25 is: 895,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,511.13 : 424,892.25 = 424,892.25 : x
  2. Step 2: Convert to fraction form
    201,511.13/424,892.25 = 424,892.25/x
  3. Step 3: Cross multiply
    201,511.13x = 424,892.25 × 424,892.25
  4. Step 4: Simplify right side
    201,511.13x = 180,533,424,110.06
  5. Step 5: Solve for x
    x = 180,533,424,110.06/201,511.13
  6. Step 6: Final answer
    x = 895,898.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.