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Finding the Third Proportional to 215,056 and 334,360

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Solution

The third proportional to 215,056 and 334,360 is: 519,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,056 : 334,360 = 334,360 : x
  2. Step 2: Convert to fraction form
    215,056/334,360 = 334,360/x
  3. Step 3: Cross multiply
    215,056x = 334,360 × 334,360
  4. Step 4: Simplify right side
    215,056x = 111,796,609,600
  5. Step 5: Solve for x
    x = 111,796,609,600/215,056
  6. Step 6: Final answer
    x = 519,848.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.