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Finding the Third Proportional to 202,650 and 296,158

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Solution

The third proportional to 202,650 and 296,158 is: 432,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650 : 296,158 = 296,158 : x
  2. Step 2: Convert to fraction form
    202,650/296,158 = 296,158/x
  3. Step 3: Cross multiply
    202,650x = 296,158 × 296,158
  4. Step 4: Simplify right side
    202,650x = 87,709,560,964
  5. Step 5: Solve for x
    x = 87,709,560,964/202,650
  6. Step 6: Final answer
    x = 432,813.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.