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Finding the Third Proportional to 202,647 and 296,154

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Solution

The third proportional to 202,647 and 296,154 is: 432,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,647 : 296,154 = 296,154 : x
  2. Step 2: Convert to fraction form
    202,647/296,154 = 296,154/x
  3. Step 3: Cross multiply
    202,647x = 296,154 × 296,154
  4. Step 4: Simplify right side
    202,647x = 87,707,191,716
  5. Step 5: Solve for x
    x = 87,707,191,716/202,647
  6. Step 6: Final answer
    x = 432,807.75

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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.