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Finding the Third Proportional to 161,623.41 and 342,947.98

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Solution

The third proportional to 161,623.41 and 342,947.98 is: 727,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,623.41 : 342,947.98 = 342,947.98 : x
  2. Step 2: Convert to fraction form
    161,623.41/342,947.98 = 342,947.98/x
  3. Step 3: Cross multiply
    161,623.41x = 342,947.98 × 342,947.98
  4. Step 4: Simplify right side
    161,623.41x = 117,613,319,986.88
  5. Step 5: Solve for x
    x = 117,613,319,986.88/161,623.41
  6. Step 6: Final answer
    x = 727,699.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.