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Finding the Third Proportional to 227,822.63 and 353,671.31

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Solution

The third proportional to 227,822.63 and 353,671.31 is: 549,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822.63 : 353,671.31 = 353,671.31 : x
  2. Step 2: Convert to fraction form
    227,822.63/353,671.31 = 353,671.31/x
  3. Step 3: Cross multiply
    227,822.63x = 353,671.31 × 353,671.31
  4. Step 4: Simplify right side
    227,822.63x = 125,083,397,285.47
  5. Step 5: Solve for x
    x = 125,083,397,285.47/227,822.63
  6. Step 6: Final answer
    x = 549,038.52

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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.