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Finding the Third Proportional to 161,851.50 and 347,031

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Solution

The third proportional to 161,851.50 and 347,031 is: 744,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,851.50 : 347,031 = 347,031 : x
  2. Step 2: Convert to fraction form
    161,851.50/347,031 = 347,031/x
  3. Step 3: Cross multiply
    161,851.50x = 347,031 × 347,031
  4. Step 4: Simplify right side
    161,851.50x = 120,430,514,961
  5. Step 5: Solve for x
    x = 120,430,514,961/161,851.50
  6. Step 6: Final answer
    x = 744,080.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.