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Finding the Third Proportional to 181,197 and 409,370.63

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Solution

The third proportional to 181,197 and 409,370.63 is: 924,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,197 : 409,370.63 = 409,370.63 : x
  2. Step 2: Convert to fraction form
    181,197/409,370.63 = 409,370.63/x
  3. Step 3: Cross multiply
    181,197x = 409,370.63 × 409,370.63
  4. Step 4: Simplify right side
    181,197x = 167,584,308,612.89
  5. Step 5: Solve for x
    x = 167,584,308,612.89/181,197
  6. Step 6: Final answer
    x = 924,873.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.