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Finding the Third Proportional to 223,609 and 334,527

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Solution

The third proportional to 223,609 and 334,527 is: 500,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,609 : 334,527 = 334,527 : x
  2. Step 2: Convert to fraction form
    223,609/334,527 = 334,527/x
  3. Step 3: Cross multiply
    223,609x = 334,527 × 334,527
  4. Step 4: Simplify right side
    223,609x = 111,908,313,729
  5. Step 5: Solve for x
    x = 111,908,313,729/223,609
  6. Step 6: Final answer
    x = 500,464.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.