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Finding the Third Proportional to 202,343.63 and 437,108.63

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Solution

The third proportional to 202,343.63 and 437,108.63 is: 944,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.63 : 437,108.63 = 437,108.63 : x
  2. Step 2: Convert to fraction form
    202,343.63/437,108.63 = 437,108.63/x
  3. Step 3: Cross multiply
    202,343.63x = 437,108.63 × 437,108.63
  4. Step 4: Simplify right side
    202,343.63x = 191,063,950,049.39
  5. Step 5: Solve for x
    x = 191,063,950,049.39/202,343.63
  6. Step 6: Final answer
    x = 944,254.85

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