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Finding the Third Proportional to 172,590.75 and 357,164.44

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Solution

The third proportional to 172,590.75 and 357,164.44 is: 739,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,590.75 : 357,164.44 = 357,164.44 : x
  2. Step 2: Convert to fraction form
    172,590.75/357,164.44 = 357,164.44/x
  3. Step 3: Cross multiply
    172,590.75x = 357,164.44 × 357,164.44
  4. Step 4: Simplify right side
    172,590.75x = 127,566,435,414.69
  5. Step 5: Solve for x
    x = 127,566,435,414.69/172,590.75
  6. Step 6: Final answer
    x = 739,126.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.