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Finding the Third Proportional to 144,590.06 and 322,714.13

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Solution

The third proportional to 144,590.06 and 322,714.13 is: 720,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,590.06 : 322,714.13 = 322,714.13 : x
  2. Step 2: Convert to fraction form
    144,590.06/322,714.13 = 322,714.13/x
  3. Step 3: Cross multiply
    144,590.06x = 322,714.13 × 322,714.13
  4. Step 4: Simplify right side
    144,590.06x = 104,144,406,474.52
  5. Step 5: Solve for x
    x = 104,144,406,474.52/144,590.06
  6. Step 6: Final answer
    x = 720,273.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.