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Finding the Third Proportional to 231,951 and 359,151

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Solution

The third proportional to 231,951 and 359,151 is: 556,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,951 : 359,151 = 359,151 : x
  2. Step 2: Convert to fraction form
    231,951/359,151 = 359,151/x
  3. Step 3: Cross multiply
    231,951x = 359,151 × 359,151
  4. Step 4: Simplify right side
    231,951x = 128,989,440,801
  5. Step 5: Solve for x
    x = 128,989,440,801/231,951
  6. Step 6: Final answer
    x = 556,106.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.