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Finding the Third Proportional to 157,102.50 and 291,241.50

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Solution

The third proportional to 157,102.50 and 291,241.50 is: 539,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102.50 : 291,241.50 = 291,241.50 : x
  2. Step 2: Convert to fraction form
    157,102.50/291,241.50 = 291,241.50/x
  3. Step 3: Cross multiply
    157,102.50x = 291,241.50 × 291,241.50
  4. Step 4: Simplify right side
    157,102.50x = 84,821,611,322.25
  5. Step 5: Solve for x
    x = 84,821,611,322.25/157,102.50
  6. Step 6: Final answer
    x = 539,912.55

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.