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Finding the Third Proportional to 211,944 and 297,060

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Solution

The third proportional to 211,944 and 297,060 is: 416,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,944 : 297,060 = 297,060 : x
  2. Step 2: Convert to fraction form
    211,944/297,060 = 297,060/x
  3. Step 3: Cross multiply
    211,944x = 297,060 × 297,060
  4. Step 4: Simplify right side
    211,944x = 88,244,643,600
  5. Step 5: Solve for x
    x = 88,244,643,600/211,944
  6. Step 6: Final answer
    x = 416,358.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.