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Finding the Third Proportional to 202,767 and 296,446.50

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Solution

The third proportional to 202,767 and 296,446.50 is: 433,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,767 : 296,446.50 = 296,446.50 : x
  2. Step 2: Convert to fraction form
    202,767/296,446.50 = 296,446.50/x
  3. Step 3: Cross multiply
    202,767x = 296,446.50 × 296,446.50
  4. Step 4: Simplify right side
    202,767x = 87,880,527,362.25
  5. Step 5: Solve for x
    x = 87,880,527,362.25/202,767
  6. Step 6: Final answer
    x = 433,406.46

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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.