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Finding the Third Proportional to 157,829.25 and 236,926

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Solution

The third proportional to 157,829.25 and 236,926 is: 355,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,829.25 : 236,926 = 236,926 : x
  2. Step 2: Convert to fraction form
    157,829.25/236,926 = 236,926/x
  3. Step 3: Cross multiply
    157,829.25x = 236,926 × 236,926
  4. Step 4: Simplify right side
    157,829.25x = 56,133,929,476
  5. Step 5: Solve for x
    x = 56,133,929,476/157,829.25
  6. Step 6: Final answer
    x = 355,662.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.