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Finding the Third Proportional to 121,563 and 265,257

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Solution

The third proportional to 121,563 and 265,257 is: 578,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,563 : 265,257 = 265,257 : x
  2. Step 2: Convert to fraction form
    121,563/265,257 = 265,257/x
  3. Step 3: Cross multiply
    121,563x = 265,257 × 265,257
  4. Step 4: Simplify right side
    121,563x = 70,361,276,049
  5. Step 5: Solve for x
    x = 70,361,276,049/121,563
  6. Step 6: Final answer
    x = 578,805.03

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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.