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Finding the Third Proportional to 121,392 and 264,924

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Solution

The third proportional to 121,392 and 264,924 is: 578,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,392 : 264,924 = 264,924 : x
  2. Step 2: Convert to fraction form
    121,392/264,924 = 264,924/x
  3. Step 3: Cross multiply
    121,392x = 264,924 × 264,924
  4. Step 4: Simplify right side
    121,392x = 70,184,725,776
  5. Step 5: Solve for x
    x = 70,184,725,776/121,392
  6. Step 6: Final answer
    x = 578,165.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.