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Finding the Third Proportional to 115,146 and 252,526

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Solution

The third proportional to 115,146 and 252,526 is: 553,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,146 : 252,526 = 252,526 : x
  2. Step 2: Convert to fraction form
    115,146/252,526 = 252,526/x
  3. Step 3: Cross multiply
    115,146x = 252,526 × 252,526
  4. Step 4: Simplify right side
    115,146x = 63,769,380,676
  5. Step 5: Solve for x
    x = 63,769,380,676/115,146
  6. Step 6: Final answer
    x = 553,813.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.