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Finding the Third Proportional to 251,706 and 374,151

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Solution

The third proportional to 251,706 and 374,151 is: 556,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,706 : 374,151 = 374,151 : x
  2. Step 2: Convert to fraction form
    251,706/374,151 = 374,151/x
  3. Step 3: Cross multiply
    251,706x = 374,151 × 374,151
  4. Step 4: Simplify right side
    251,706x = 139,988,970,801
  5. Step 5: Solve for x
    x = 139,988,970,801/251,706
  6. Step 6: Final answer
    x = 556,160.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.