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Finding the Third Proportional to 212,010.75 and 461,355.75

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Solution

The third proportional to 212,010.75 and 461,355.75 is: 1,003,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,010.75 : 461,355.75 = 461,355.75 : x
  2. Step 2: Convert to fraction form
    212,010.75/461,355.75 = 461,355.75/x
  3. Step 3: Cross multiply
    212,010.75x = 461,355.75 × 461,355.75
  4. Step 4: Simplify right side
    212,010.75x = 212,849,128,058.06
  5. Step 5: Solve for x
    x = 212,849,128,058.06/212,010.75
  6. Step 6: Final answer
    x = 1,003,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.