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Finding the Third Proportional to 105,289 and 232,722

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Solution

The third proportional to 105,289 and 232,722 is: 514,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289 : 232,722 = 232,722 : x
  2. Step 2: Convert to fraction form
    105,289/232,722 = 232,722/x
  3. Step 3: Cross multiply
    105,289x = 232,722 × 232,722
  4. Step 4: Simplify right side
    105,289x = 54,159,529,284
  5. Step 5: Solve for x
    x = 54,159,529,284/105,289
  6. Step 6: Final answer
    x = 514,389.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.