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Finding the Third Proportional to 211,963.50 and 296,487

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Solution

The third proportional to 211,963.50 and 296,487 is: 414,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,963.50 : 296,487 = 296,487 : x
  2. Step 2: Convert to fraction form
    211,963.50/296,487 = 296,487/x
  3. Step 3: Cross multiply
    211,963.50x = 296,487 × 296,487
  4. Step 4: Simplify right side
    211,963.50x = 87,904,541,169
  5. Step 5: Solve for x
    x = 87,904,541,169/211,963.50
  6. Step 6: Final answer
    x = 414,715.46

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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.