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Finding the Third Proportional to 175,026 and 374,042

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Solution

The third proportional to 175,026 and 374,042 is: 799,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,026 : 374,042 = 374,042 : x
  2. Step 2: Convert to fraction form
    175,026/374,042 = 374,042/x
  3. Step 3: Cross multiply
    175,026x = 374,042 × 374,042
  4. Step 4: Simplify right side
    175,026x = 139,907,417,764
  5. Step 5: Solve for x
    x = 139,907,417,764/175,026
  6. Step 6: Final answer
    x = 799,352.20

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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.