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Finding the Third Proportional to 119,560 and 265,364

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Solution

The third proportional to 119,560 and 265,364 is: 588,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,560 : 265,364 = 265,364 : x
  2. Step 2: Convert to fraction form
    119,560/265,364 = 265,364/x
  3. Step 3: Cross multiply
    119,560x = 265,364 × 265,364
  4. Step 4: Simplify right side
    119,560x = 70,418,052,496
  5. Step 5: Solve for x
    x = 70,418,052,496/119,560
  6. Step 6: Final answer
    x = 588,976.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.