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Finding the Third Proportional to 212,074 and 327,952

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Solution

The third proportional to 212,074 and 327,952 is: 507,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,074 : 327,952 = 327,952 : x
  2. Step 2: Convert to fraction form
    212,074/327,952 = 327,952/x
  3. Step 3: Cross multiply
    212,074x = 327,952 × 327,952
  4. Step 4: Simplify right side
    212,074x = 107,552,514,304
  5. Step 5: Solve for x
    x = 107,552,514,304/212,074
  6. Step 6: Final answer
    x = 507,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.