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Finding the Third Proportional to 172,146.38 and 263,152.13

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Solution

The third proportional to 172,146.38 and 263,152.13 is: 402,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,146.38 : 263,152.13 = 263,152.13 : x
  2. Step 2: Convert to fraction form
    172,146.38/263,152.13 = 263,152.13/x
  3. Step 3: Cross multiply
    172,146.38x = 263,152.13 × 263,152.13
  4. Step 4: Simplify right side
    172,146.38x = 69,249,040,892.02
  5. Step 5: Solve for x
    x = 69,249,040,892.02/172,146.38
  6. Step 6: Final answer
    x = 402,268.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.