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Finding the Third Proportional to 172,782.50 and 270,454

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Solution

The third proportional to 172,782.50 and 270,454 is: 423,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,782.50 : 270,454 = 270,454 : x
  2. Step 2: Convert to fraction form
    172,782.50/270,454 = 270,454/x
  3. Step 3: Cross multiply
    172,782.50x = 270,454 × 270,454
  4. Step 4: Simplify right side
    172,782.50x = 73,145,366,116
  5. Step 5: Solve for x
    x = 73,145,366,116/172,782.50
  6. Step 6: Final answer
    x = 423,337.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.