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Finding the Third Proportional to 157,132 and 339,365

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Solution

The third proportional to 157,132 and 339,365 is: 732,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,132 : 339,365 = 339,365 : x
  2. Step 2: Convert to fraction form
    157,132/339,365 = 339,365/x
  3. Step 3: Cross multiply
    157,132x = 339,365 × 339,365
  4. Step 4: Simplify right side
    157,132x = 115,168,603,225
  5. Step 5: Solve for x
    x = 115,168,603,225/157,132
  6. Step 6: Final answer
    x = 732,941.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.