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Finding the Third Proportional to 227,670 and 342,238.50

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Solution

The third proportional to 227,670 and 342,238.50 is: 514,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,670 : 342,238.50 = 342,238.50 : x
  2. Step 2: Convert to fraction form
    227,670/342,238.50 = 342,238.50/x
  3. Step 3: Cross multiply
    227,670x = 342,238.50 × 342,238.50
  4. Step 4: Simplify right side
    227,670x = 117,127,190,882.25
  5. Step 5: Solve for x
    x = 117,127,190,882.25/227,670
  6. Step 6: Final answer
    x = 514,460.36

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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.