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Finding the Third Proportional to 161,803.13 and 352,013.63

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Solution

The third proportional to 161,803.13 and 352,013.63 is: 765,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,803.13 : 352,013.63 = 352,013.63 : x
  2. Step 2: Convert to fraction form
    161,803.13/352,013.63 = 352,013.63/x
  3. Step 3: Cross multiply
    161,803.13x = 352,013.63 × 352,013.63
  4. Step 4: Simplify right side
    161,803.13x = 123,913,592,185.64
  5. Step 5: Solve for x
    x = 123,913,592,185.64/161,803.13
  6. Step 6: Final answer
    x = 765,829.41

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