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Finding the Third Proportional to 215,007 and 334,037

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Solution

The third proportional to 215,007 and 334,037 is: 518,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,007 : 334,037 = 334,037 : x
  2. Step 2: Convert to fraction form
    215,007/334,037 = 334,037/x
  3. Step 3: Cross multiply
    215,007x = 334,037 × 334,037
  4. Step 4: Simplify right side
    215,007x = 111,580,717,369
  5. Step 5: Solve for x
    x = 111,580,717,369/215,007
  6. Step 6: Final answer
    x = 518,963.18

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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.