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Finding the Third Proportional to 208,156 and 438,062

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Solution

The third proportional to 208,156 and 438,062 is: 921,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156 : 438,062 = 438,062 : x
  2. Step 2: Convert to fraction form
    208,156/438,062 = 438,062/x
  3. Step 3: Cross multiply
    208,156x = 438,062 × 438,062
  4. Step 4: Simplify right side
    208,156x = 191,898,315,844
  5. Step 5: Solve for x
    x = 191,898,315,844/208,156
  6. Step 6: Final answer
    x = 921,896.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.