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Finding the Third Proportional to 161,731.13 and 350,951.63

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Solution

The third proportional to 161,731.13 and 350,951.63 is: 761,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,731.13 : 350,951.63 = 350,951.63 : x
  2. Step 2: Convert to fraction form
    161,731.13/350,951.63 = 350,951.63/x
  3. Step 3: Cross multiply
    161,731.13x = 350,951.63 × 350,951.63
  4. Step 4: Simplify right side
    161,731.13x = 123,167,043,090.14
  5. Step 5: Solve for x
    x = 123,167,043,090.14/161,731.13
  6. Step 6: Final answer
    x = 761,554.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.