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Finding the Third Proportional to 202,361.50 and 296,981

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Solution

The third proportional to 202,361.50 and 296,981 is: 435,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361.50 : 296,981 = 296,981 : x
  2. Step 2: Convert to fraction form
    202,361.50/296,981 = 296,981/x
  3. Step 3: Cross multiply
    202,361.50x = 296,981 × 296,981
  4. Step 4: Simplify right side
    202,361.50x = 88,197,714,361
  5. Step 5: Solve for x
    x = 88,197,714,361/202,361.50
  6. Step 6: Final answer
    x = 435,842.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.