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Finding the Third Proportional to 176,948 and 374,632

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Solution

The third proportional to 176,948 and 374,632 is: 793,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,948 : 374,632 = 374,632 : x
  2. Step 2: Convert to fraction form
    176,948/374,632 = 374,632/x
  3. Step 3: Cross multiply
    176,948x = 374,632 × 374,632
  4. Step 4: Simplify right side
    176,948x = 140,349,135,424
  5. Step 5: Solve for x
    x = 140,349,135,424/176,948
  6. Step 6: Final answer
    x = 793,165.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.