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Finding the Third Proportional to 273,135.80 and 413,513.86

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Solution

The third proportional to 273,135.80 and 413,513.86 is: 626,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,135.80 : 413,513.86 = 413,513.86 : x
  2. Step 2: Convert to fraction form
    273,135.80/413,513.86 = 413,513.86/x
  3. Step 3: Cross multiply
    273,135.80x = 413,513.86 × 413,513.86
  4. Step 4: Simplify right side
    273,135.80x = 170,993,711,895.21
  5. Step 5: Solve for x
    x = 170,993,711,895.21/273,135.80
  6. Step 6: Final answer
    x = 626,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.