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Finding the Third Proportional to 211,774.50 and 296,824.50

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Solution

The third proportional to 211,774.50 and 296,824.50 is: 416,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,774.50 : 296,824.50 = 296,824.50 : x
  2. Step 2: Convert to fraction form
    211,774.50/296,824.50 = 296,824.50/x
  3. Step 3: Cross multiply
    211,774.50x = 296,824.50 × 296,824.50
  4. Step 4: Simplify right side
    211,774.50x = 88,104,783,800.25
  5. Step 5: Solve for x
    x = 88,104,783,800.25/211,774.50
  6. Step 6: Final answer
    x = 416,031.13

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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.