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Finding the Third Proportional to 149,324 and 231,236

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Solution

The third proportional to 149,324 and 231,236 is: 358,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,324 : 231,236 = 231,236 : x
  2. Step 2: Convert to fraction form
    149,324/231,236 = 231,236/x
  3. Step 3: Cross multiply
    149,324x = 231,236 × 231,236
  4. Step 4: Simplify right side
    149,324x = 53,470,087,696
  5. Step 5: Solve for x
    x = 53,470,087,696/149,324
  6. Step 6: Final answer
    x = 358,081.00

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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.