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Finding the Third Proportional to 175,688 and 277,917

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Solution

The third proportional to 175,688 and 277,917 is: 439,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,688 : 277,917 = 277,917 : x
  2. Step 2: Convert to fraction form
    175,688/277,917 = 277,917/x
  3. Step 3: Cross multiply
    175,688x = 277,917 × 277,917
  4. Step 4: Simplify right side
    175,688x = 77,237,858,889
  5. Step 5: Solve for x
    x = 77,237,858,889/175,688
  6. Step 6: Final answer
    x = 439,630.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.