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Finding the Third Proportional to 223,122 and 312,795

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Solution

The third proportional to 223,122 and 312,795 is: 438,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,122 : 312,795 = 312,795 : x
  2. Step 2: Convert to fraction form
    223,122/312,795 = 312,795/x
  3. Step 3: Cross multiply
    223,122x = 312,795 × 312,795
  4. Step 4: Simplify right side
    223,122x = 97,840,712,025
  5. Step 5: Solve for x
    x = 97,840,712,025/223,122
  6. Step 6: Final answer
    x = 438,507.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.