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Finding the Third Proportional to 171,343.50 and 368,943

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Solution

The third proportional to 171,343.50 and 368,943 is: 794,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,343.50 : 368,943 = 368,943 : x
  2. Step 2: Convert to fraction form
    171,343.50/368,943 = 368,943/x
  3. Step 3: Cross multiply
    171,343.50x = 368,943 × 368,943
  4. Step 4: Simplify right side
    171,343.50x = 136,118,937,249
  5. Step 5: Solve for x
    x = 136,118,937,249/171,343.50
  6. Step 6: Final answer
    x = 794,421.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.