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Finding the Third Proportional to 157,353 and 237,334

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Solution

The third proportional to 157,353 and 237,334 is: 357,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,353 : 237,334 = 237,334 : x
  2. Step 2: Convert to fraction form
    157,353/237,334 = 237,334/x
  3. Step 3: Cross multiply
    157,353x = 237,334 × 237,334
  4. Step 4: Simplify right side
    157,353x = 56,327,427,556
  5. Step 5: Solve for x
    x = 56,327,427,556/157,353
  6. Step 6: Final answer
    x = 357,968.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.