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Finding the Third Proportional to 202,581 and 434,595

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Solution

The third proportional to 202,581 and 434,595 is: 932,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581 : 434,595 = 434,595 : x
  2. Step 2: Convert to fraction form
    202,581/434,595 = 434,595/x
  3. Step 3: Cross multiply
    202,581x = 434,595 × 434,595
  4. Step 4: Simplify right side
    202,581x = 188,872,814,025
  5. Step 5: Solve for x
    x = 188,872,814,025/202,581
  6. Step 6: Final answer
    x = 932,332.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.