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Finding the Third Proportional to 155,907.75 and 172,310.25

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Solution

The third proportional to 155,907.75 and 172,310.25 is: 190,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,907.75 : 172,310.25 = 172,310.25 : x
  2. Step 2: Convert to fraction form
    155,907.75/172,310.25 = 172,310.25/x
  3. Step 3: Cross multiply
    155,907.75x = 172,310.25 × 172,310.25
  4. Step 4: Simplify right side
    155,907.75x = 29,690,822,255.06
  5. Step 5: Solve for x
    x = 29,690,822,255.06/155,907.75
  6. Step 6: Final answer
    x = 190,438.40

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.