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Finding the Third Proportional to 227,502.75 and 341,983.50

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Solution

The third proportional to 227,502.75 and 341,983.50 is: 514,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,502.75 : 341,983.50 = 341,983.50 : x
  2. Step 2: Convert to fraction form
    227,502.75/341,983.50 = 341,983.50/x
  3. Step 3: Cross multiply
    227,502.75x = 341,983.50 × 341,983.50
  4. Step 4: Simplify right side
    227,502.75x = 116,952,714,272.25
  5. Step 5: Solve for x
    x = 116,952,714,272.25/227,502.75
  6. Step 6: Final answer
    x = 514,071.65

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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.