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Finding the Third Proportional to 172,559.43 and 353,482.42

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Solution

The third proportional to 172,559.43 and 353,482.42 is: 724,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,559.43 : 353,482.42 = 353,482.42 : x
  2. Step 2: Convert to fraction form
    172,559.43/353,482.42 = 353,482.42/x
  3. Step 3: Cross multiply
    172,559.43x = 353,482.42 × 353,482.42
  4. Step 4: Simplify right side
    172,559.43x = 124,949,819,813.03
  5. Step 5: Solve for x
    x = 124,949,819,813.03/172,559.43
  6. Step 6: Final answer
    x = 724,097.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.