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Finding the Third Proportional to 215,764 and 337,724

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Solution

The third proportional to 215,764 and 337,724 is: 528,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,764 : 337,724 = 337,724 : x
  2. Step 2: Convert to fraction form
    215,764/337,724 = 337,724/x
  3. Step 3: Cross multiply
    215,764x = 337,724 × 337,724
  4. Step 4: Simplify right side
    215,764x = 114,057,500,176
  5. Step 5: Solve for x
    x = 114,057,500,176/215,764
  6. Step 6: Final answer
    x = 528,621.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.