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Finding the Third Proportional to 155,566.50 and 234,782.25

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Solution

The third proportional to 155,566.50 and 234,782.25 is: 354,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,566.50 : 234,782.25 = 234,782.25 : x
  2. Step 2: Convert to fraction form
    155,566.50/234,782.25 = 234,782.25/x
  3. Step 3: Cross multiply
    155,566.50x = 234,782.25 × 234,782.25
  4. Step 4: Simplify right side
    155,566.50x = 55,122,704,915.06
  5. Step 5: Solve for x
    x = 55,122,704,915.06/155,566.50
  6. Step 6: Final answer
    x = 354,335.32

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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.