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Finding the Third Proportional to 151,315.50 and 202,062

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Solution

The third proportional to 151,315.50 and 202,062 is: 269,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,315.50 : 202,062 = 202,062 : x
  2. Step 2: Convert to fraction form
    151,315.50/202,062 = 202,062/x
  3. Step 3: Cross multiply
    151,315.50x = 202,062 × 202,062
  4. Step 4: Simplify right side
    151,315.50x = 40,829,051,844
  5. Step 5: Solve for x
    x = 40,829,051,844/151,315.50
  6. Step 6: Final answer
    x = 269,827.29

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.