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Finding the Third Proportional to 145,656 and 219,821.25

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Solution

The third proportional to 145,656 and 219,821.25 is: 331,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656 : 219,821.25 = 219,821.25 : x
  2. Step 2: Convert to fraction form
    145,656/219,821.25 = 219,821.25/x
  3. Step 3: Cross multiply
    145,656x = 219,821.25 × 219,821.25
  4. Step 4: Simplify right side
    145,656x = 48,321,381,951.56
  5. Step 5: Solve for x
    x = 48,321,381,951.56/145,656
  6. Step 6: Final answer
    x = 331,750.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.