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Finding the Third Proportional to 202,877 and 296,803.50

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Solution

The third proportional to 202,877 and 296,803.50 is: 434,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877 : 296,803.50 = 296,803.50 : x
  2. Step 2: Convert to fraction form
    202,877/296,803.50 = 296,803.50/x
  3. Step 3: Cross multiply
    202,877x = 296,803.50 × 296,803.50
  4. Step 4: Simplify right side
    202,877x = 88,092,317,612.25
  5. Step 5: Solve for x
    x = 88,092,317,612.25/202,877
  6. Step 6: Final answer
    x = 434,215.40

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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.