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Finding the Third Proportional to 121,194 and 265,473

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Solution

The third proportional to 121,194 and 265,473 is: 581,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,194 : 265,473 = 265,473 : x
  2. Step 2: Convert to fraction form
    121,194/265,473 = 265,473/x
  3. Step 3: Cross multiply
    121,194x = 265,473 × 265,473
  4. Step 4: Simplify right side
    121,194x = 70,475,913,729
  5. Step 5: Solve for x
    x = 70,475,913,729/121,194
  6. Step 6: Final answer
    x = 581,513.22

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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.