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Finding the Third Proportional to 232,572 and 350,219.25

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Solution

The third proportional to 232,572 and 350,219.25 is: 527,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,572 : 350,219.25 = 350,219.25 : x
  2. Step 2: Convert to fraction form
    232,572/350,219.25 = 350,219.25/x
  3. Step 3: Cross multiply
    232,572x = 350,219.25 × 350,219.25
  4. Step 4: Simplify right side
    232,572x = 122,653,523,070.56
  5. Step 5: Solve for x
    x = 122,653,523,070.56/232,572
  6. Step 6: Final answer
    x = 527,378.72

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