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Finding the Third Proportional to 212,022 and 310,905

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Solution

The third proportional to 212,022 and 310,905 is: 455,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,022 : 310,905 = 310,905 : x
  2. Step 2: Convert to fraction form
    212,022/310,905 = 310,905/x
  3. Step 3: Cross multiply
    212,022x = 310,905 × 310,905
  4. Step 4: Simplify right side
    212,022x = 96,661,919,025
  5. Step 5: Solve for x
    x = 96,661,919,025/212,022
  6. Step 6: Final answer
    x = 455,905.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.