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Finding the Third Proportional to 200,116.50 and 437,169

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Solution

The third proportional to 200,116.50 and 437,169 is: 955,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,116.50 : 437,169 = 437,169 : x
  2. Step 2: Convert to fraction form
    200,116.50/437,169 = 437,169/x
  3. Step 3: Cross multiply
    200,116.50x = 437,169 × 437,169
  4. Step 4: Simplify right side
    200,116.50x = 191,116,734,561
  5. Step 5: Solve for x
    x = 191,116,734,561/200,116.50
  6. Step 6: Final answer
    x = 955,027.37

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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.