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Finding the Third Proportional to 175,115.25 and 341,482.50

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Solution

The third proportional to 175,115.25 and 341,482.50 is: 665,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,115.25 : 341,482.50 = 341,482.50 : x
  2. Step 2: Convert to fraction form
    175,115.25/341,482.50 = 341,482.50/x
  3. Step 3: Cross multiply
    175,115.25x = 341,482.50 × 341,482.50
  4. Step 4: Simplify right side
    175,115.25x = 116,610,297,806.25
  5. Step 5: Solve for x
    x = 116,610,297,806.25/175,115.25
  6. Step 6: Final answer
    x = 665,906.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.