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Finding the Third Proportional to 143,421 and 315,150

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Solution

The third proportional to 143,421 and 315,150 is: 692,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,421 : 315,150 = 315,150 : x
  2. Step 2: Convert to fraction form
    143,421/315,150 = 315,150/x
  3. Step 3: Cross multiply
    143,421x = 315,150 × 315,150
  4. Step 4: Simplify right side
    143,421x = 99,319,522,500
  5. Step 5: Solve for x
    x = 99,319,522,500/143,421
  6. Step 6: Final answer
    x = 692,503.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.