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Finding the Third Proportional to 202,353.19 and 437,123.25

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Solution

The third proportional to 202,353.19 and 437,123.25 is: 944,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353.19 : 437,123.25 = 437,123.25 : x
  2. Step 2: Convert to fraction form
    202,353.19/437,123.25 = 437,123.25/x
  3. Step 3: Cross multiply
    202,353.19x = 437,123.25 × 437,123.25
  4. Step 4: Simplify right side
    202,353.19x = 191,076,735,690.56
  5. Step 5: Solve for x
    x = 191,076,735,690.56/202,353.19
  6. Step 6: Final answer
    x = 944,273.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.