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Finding the Third Proportional to 155,226.75 and 234,055.50

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Solution

The third proportional to 155,226.75 and 234,055.50 is: 352,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,226.75 : 234,055.50 = 234,055.50 : x
  2. Step 2: Convert to fraction form
    155,226.75/234,055.50 = 234,055.50/x
  3. Step 3: Cross multiply
    155,226.75x = 234,055.50 × 234,055.50
  4. Step 4: Simplify right side
    155,226.75x = 54,781,977,080.25
  5. Step 5: Solve for x
    x = 54,781,977,080.25/155,226.75
  6. Step 6: Final answer
    x = 352,915.83

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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.