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Finding the Third Proportional to 143,967 and 297,154.50

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Solution

The third proportional to 143,967 and 297,154.50 is: 613,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,967 : 297,154.50 = 297,154.50 : x
  2. Step 2: Convert to fraction form
    143,967/297,154.50 = 297,154.50/x
  3. Step 3: Cross multiply
    143,967x = 297,154.50 × 297,154.50
  4. Step 4: Simplify right side
    143,967x = 88,300,796,870.25
  5. Step 5: Solve for x
    x = 88,300,796,870.25/143,967
  6. Step 6: Final answer
    x = 613,340.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.