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Finding the Third Proportional to 230,501 and 310,732

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Solution

The third proportional to 230,501 and 310,732 is: 418,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,501 : 310,732 = 310,732 : x
  2. Step 2: Convert to fraction form
    230,501/310,732 = 310,732/x
  3. Step 3: Cross multiply
    230,501x = 310,732 × 310,732
  4. Step 4: Simplify right side
    230,501x = 96,554,375,824
  5. Step 5: Solve for x
    x = 96,554,375,824/230,501
  6. Step 6: Final answer
    x = 418,889.18

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