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Finding the Third Proportional to 115,733 and 253,702

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Solution

The third proportional to 115,733 and 253,702 is: 556,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,733 : 253,702 = 253,702 : x
  2. Step 2: Convert to fraction form
    115,733/253,702 = 253,702/x
  3. Step 3: Cross multiply
    115,733x = 253,702 × 253,702
  4. Step 4: Simplify right side
    115,733x = 64,364,704,804
  5. Step 5: Solve for x
    x = 64,364,704,804/115,733
  6. Step 6: Final answer
    x = 556,148.24

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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.