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Finding the Third Proportional to 74,296.41 and 161,851.50

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Solution

The third proportional to 74,296.41 and 161,851.50 is: 352,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296.41 : 161,851.50 = 161,851.50 : x
  2. Step 2: Convert to fraction form
    74,296.41/161,851.50 = 161,851.50/x
  3. Step 3: Cross multiply
    74,296.41x = 161,851.50 × 161,851.50
  4. Step 4: Simplify right side
    74,296.41x = 26,195,908,052.25
  5. Step 5: Solve for x
    x = 26,195,908,052.25/74,296.41
  6. Step 6: Final answer
    x = 352,586.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.