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Finding the Third Proportional to 124,362 and 265,324

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Solution

The third proportional to 124,362 and 265,324 is: 566,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,362 : 265,324 = 265,324 : x
  2. Step 2: Convert to fraction form
    124,362/265,324 = 265,324/x
  3. Step 3: Cross multiply
    124,362x = 265,324 × 265,324
  4. Step 4: Simplify right side
    124,362x = 70,396,824,976
  5. Step 5: Solve for x
    x = 70,396,824,976/124,362
  6. Step 6: Final answer
    x = 566,063.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.