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Finding the Third Proportional to 200,060 and 437,296

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Solution

The third proportional to 200,060 and 437,296 is: 955,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,060 : 437,296 = 437,296 : x
  2. Step 2: Convert to fraction form
    200,060/437,296 = 437,296/x
  3. Step 3: Cross multiply
    200,060x = 437,296 × 437,296
  4. Step 4: Simplify right side
    200,060x = 191,227,791,616
  5. Step 5: Solve for x
    x = 191,227,791,616/200,060
  6. Step 6: Final answer
    x = 955,852.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.