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Finding the Third Proportional to 68,632.31 and 160,342.03

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Solution

The third proportional to 68,632.31 and 160,342.03 is: 374,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,632.31 : 160,342.03 = 160,342.03 : x
  2. Step 2: Convert to fraction form
    68,632.31/160,342.03 = 160,342.03/x
  3. Step 3: Cross multiply
    68,632.31x = 160,342.03 × 160,342.03
  4. Step 4: Simplify right side
    68,632.31x = 25,709,566,985.38
  5. Step 5: Solve for x
    x = 25,709,566,985.38/68,632.31
  6. Step 6: Final answer
    x = 374,598.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.