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Finding the Third Proportional to 238,889.25 and 348,472.13

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Solution

The third proportional to 238,889.25 and 348,472.13 is: 508,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,889.25 : 348,472.13 = 348,472.13 : x
  2. Step 2: Convert to fraction form
    238,889.25/348,472.13 = 348,472.13/x
  3. Step 3: Cross multiply
    238,889.25x = 348,472.13 × 348,472.13
  4. Step 4: Simplify right side
    238,889.25x = 121,432,821,902.02
  5. Step 5: Solve for x
    x = 121,432,821,902.02/238,889.25
  6. Step 6: Final answer
    x = 508,322.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.