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Finding the Third Proportional to 121,392 and 262,752

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Solution

The third proportional to 121,392 and 262,752 is: 568,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,392 : 262,752 = 262,752 : x
  2. Step 2: Convert to fraction form
    121,392/262,752 = 262,752/x
  3. Step 3: Cross multiply
    121,392x = 262,752 × 262,752
  4. Step 4: Simplify right side
    121,392x = 69,038,613,504
  5. Step 5: Solve for x
    x = 69,038,613,504/121,392
  6. Step 6: Final answer
    x = 568,724.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.