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Finding the Third Proportional to 143,157 and 305,272.50

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Solution

The third proportional to 143,157 and 305,272.50 is: 650,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,157 : 305,272.50 = 305,272.50 : x
  2. Step 2: Convert to fraction form
    143,157/305,272.50 = 305,272.50/x
  3. Step 3: Cross multiply
    143,157x = 305,272.50 × 305,272.50
  4. Step 4: Simplify right side
    143,157x = 93,191,299,256.25
  5. Step 5: Solve for x
    x = 93,191,299,256.25/143,157
  6. Step 6: Final answer
    x = 650,972.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.