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Finding the Third Proportional to 115,734 and 253,704

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Solution

The third proportional to 115,734 and 253,704 is: 556,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,734 : 253,704 = 253,704 : x
  2. Step 2: Convert to fraction form
    115,734/253,704 = 253,704/x
  3. Step 3: Cross multiply
    115,734x = 253,704 × 253,704
  4. Step 4: Simplify right side
    115,734x = 64,365,719,616
  5. Step 5: Solve for x
    x = 64,365,719,616/115,734
  6. Step 6: Final answer
    x = 556,152.21

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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.