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Finding the Third Proportional to 214,032 and 317,967

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Solution

The third proportional to 214,032 and 317,967 is: 472,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,032 : 317,967 = 317,967 : x
  2. Step 2: Convert to fraction form
    214,032/317,967 = 317,967/x
  3. Step 3: Cross multiply
    214,032x = 317,967 × 317,967
  4. Step 4: Simplify right side
    214,032x = 101,103,013,089
  5. Step 5: Solve for x
    x = 101,103,013,089/214,032
  6. Step 6: Final answer
    x = 472,373.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.