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Finding the Third Proportional to 215,044 and 334,342

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Solution

The third proportional to 215,044 and 334,342 is: 519,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,044 : 334,342 = 334,342 : x
  2. Step 2: Convert to fraction form
    215,044/334,342 = 334,342/x
  3. Step 3: Cross multiply
    215,044x = 334,342 × 334,342
  4. Step 4: Simplify right side
    215,044x = 111,784,572,964
  5. Step 5: Solve for x
    x = 111,784,572,964/215,044
  6. Step 6: Final answer
    x = 519,821.86

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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.