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Finding the Third Proportional to 231,990 and 348,601.50

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Solution

The third proportional to 231,990 and 348,601.50 is: 523,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,990 : 348,601.50 = 348,601.50 : x
  2. Step 2: Convert to fraction form
    231,990/348,601.50 = 348,601.50/x
  3. Step 3: Cross multiply
    231,990x = 348,601.50 × 348,601.50
  4. Step 4: Simplify right side
    231,990x = 121,523,005,802.25
  5. Step 5: Solve for x
    x = 121,523,005,802.25/231,990
  6. Step 6: Final answer
    x = 523,828.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.