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Finding the Third Proportional to 202,276.50 and 410,295

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Solution

The third proportional to 202,276.50 and 410,295 is: 832,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,276.50 : 410,295 = 410,295 : x
  2. Step 2: Convert to fraction form
    202,276.50/410,295 = 410,295/x
  3. Step 3: Cross multiply
    202,276.50x = 410,295 × 410,295
  4. Step 4: Simplify right side
    202,276.50x = 168,341,987,025
  5. Step 5: Solve for x
    x = 168,341,987,025/202,276.50
  6. Step 6: Final answer
    x = 832,237.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.