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Finding the Third Proportional to 200,191.50 and 437,319

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Solution

The third proportional to 200,191.50 and 437,319 is: 955,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,191.50 : 437,319 = 437,319 : x
  2. Step 2: Convert to fraction form
    200,191.50/437,319 = 437,319/x
  3. Step 3: Cross multiply
    200,191.50x = 437,319 × 437,319
  4. Step 4: Simplify right side
    200,191.50x = 191,247,907,761
  5. Step 5: Solve for x
    x = 191,247,907,761/200,191.50
  6. Step 6: Final answer
    x = 955,324.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.