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Finding the Third Proportional to 200,251.50 and 437,428.50

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Solution

The third proportional to 200,251.50 and 437,428.50 is: 955,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.50 : 437,428.50 = 437,428.50 : x
  2. Step 2: Convert to fraction form
    200,251.50/437,428.50 = 437,428.50/x
  3. Step 3: Cross multiply
    200,251.50x = 437,428.50 × 437,428.50
  4. Step 4: Simplify right side
    200,251.50x = 191,343,692,612.25
  5. Step 5: Solve for x
    x = 191,343,692,612.25/200,251.50
  6. Step 6: Final answer
    x = 955,516.90

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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.