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Finding the Third Proportional to 214,626 and 341,641

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Solution

The third proportional to 214,626 and 341,641 is: 543,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 341,641 = 341,641 : x
  2. Step 2: Convert to fraction form
    214,626/341,641 = 341,641/x
  3. Step 3: Cross multiply
    214,626x = 341,641 × 341,641
  4. Step 4: Simplify right side
    214,626x = 116,718,572,881
  5. Step 5: Solve for x
    x = 116,718,572,881/214,626
  6. Step 6: Final answer
    x = 543,823.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.