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Finding the Third Proportional to 212,026 and 310,911

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Solution

The third proportional to 212,026 and 310,911 is: 455,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,026 : 310,911 = 310,911 : x
  2. Step 2: Convert to fraction form
    212,026/310,911 = 310,911/x
  3. Step 3: Cross multiply
    212,026x = 310,911 × 310,911
  4. Step 4: Simplify right side
    212,026x = 96,665,649,921
  5. Step 5: Solve for x
    x = 96,665,649,921/212,026
  6. Step 6: Final answer
    x = 455,914.13

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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.