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Finding the Third Proportional to 121,184 and 253,504

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Solution

The third proportional to 121,184 and 253,504 is: 530,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,184 : 253,504 = 253,504 : x
  2. Step 2: Convert to fraction form
    121,184/253,504 = 253,504/x
  3. Step 3: Cross multiply
    121,184x = 253,504 × 253,504
  4. Step 4: Simplify right side
    121,184x = 64,264,278,016
  5. Step 5: Solve for x
    x = 64,264,278,016/121,184
  6. Step 6: Final answer
    x = 530,303.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.