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Finding the Third Proportional to 230,152 and 310,952

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Solution

The third proportional to 230,152 and 310,952 is: 420,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,152 : 310,952 = 310,952 : x
  2. Step 2: Convert to fraction form
    230,152/310,952 = 310,952/x
  3. Step 3: Cross multiply
    230,152x = 310,952 × 310,952
  4. Step 4: Simplify right side
    230,152x = 96,691,146,304
  5. Step 5: Solve for x
    x = 96,691,146,304/230,152
  6. Step 6: Final answer
    x = 420,118.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.