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Finding the Third Proportional to 201,114.56 and 295,097.13

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Solution

The third proportional to 201,114.56 and 295,097.13 is: 432,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114.56 : 295,097.13 = 295,097.13 : x
  2. Step 2: Convert to fraction form
    201,114.56/295,097.13 = 295,097.13/x
  3. Step 3: Cross multiply
    201,114.56x = 295,097.13 × 295,097.13
  4. Step 4: Simplify right side
    201,114.56x = 87,082,317,794.16
  5. Step 5: Solve for x
    x = 87,082,317,794.16/201,114.56
  6. Step 6: Final answer
    x = 432,998.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.