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Finding the Third Proportional to 211,296.50 and 498,285

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Solution

The third proportional to 211,296.50 and 498,285 is: 1,175,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296.50 : 498,285 = 498,285 : x
  2. Step 2: Convert to fraction form
    211,296.50/498,285 = 498,285/x
  3. Step 3: Cross multiply
    211,296.50x = 498,285 × 498,285
  4. Step 4: Simplify right side
    211,296.50x = 248,287,941,225
  5. Step 5: Solve for x
    x = 248,287,941,225/211,296.50
  6. Step 6: Final answer
    x = 1,175,068.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.