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Finding the Third Proportional to 202,347 and 437,114

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Solution

The third proportional to 202,347 and 437,114 is: 944,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,347 : 437,114 = 437,114 : x
  2. Step 2: Convert to fraction form
    202,347/437,114 = 437,114/x
  3. Step 3: Cross multiply
    202,347x = 437,114 × 437,114
  4. Step 4: Simplify right side
    202,347x = 191,068,648,996
  5. Step 5: Solve for x
    x = 191,068,648,996/202,347
  6. Step 6: Final answer
    x = 944,262.33

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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.