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Finding the Third Proportional to 175,125 and 277,348.50

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Solution

The third proportional to 175,125 and 277,348.50 is: 439,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,125 : 277,348.50 = 277,348.50 : x
  2. Step 2: Convert to fraction form
    175,125/277,348.50 = 277,348.50/x
  3. Step 3: Cross multiply
    175,125x = 277,348.50 × 277,348.50
  4. Step 4: Simplify right side
    175,125x = 76,922,190,452.25
  5. Step 5: Solve for x
    x = 76,922,190,452.25/175,125
  6. Step 6: Final answer
    x = 439,241.63

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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.