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Finding the Third Proportional to 222,528 and 341,568

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Solution

The third proportional to 222,528 and 341,568 is: 524,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,528 : 341,568 = 341,568 : x
  2. Step 2: Convert to fraction form
    222,528/341,568 = 341,568/x
  3. Step 3: Cross multiply
    222,528x = 341,568 × 341,568
  4. Step 4: Simplify right side
    222,528x = 116,668,698,624
  5. Step 5: Solve for x
    x = 116,668,698,624/222,528
  6. Step 6: Final answer
    x = 524,287.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.