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Finding the Third Proportional to 149,290 and 231,148

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Solution

The third proportional to 149,290 and 231,148 is: 357,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,290 : 231,148 = 231,148 : x
  2. Step 2: Convert to fraction form
    149,290/231,148 = 231,148/x
  3. Step 3: Cross multiply
    149,290x = 231,148 × 231,148
  4. Step 4: Simplify right side
    149,290x = 53,429,397,904
  5. Step 5: Solve for x
    x = 53,429,397,904/149,290
  6. Step 6: Final answer
    x = 357,890.00

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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.