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Finding the Third Proportional to 145,702 and 320,308

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Solution

The third proportional to 145,702 and 320,308 is: 704,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,702 : 320,308 = 320,308 : x
  2. Step 2: Convert to fraction form
    145,702/320,308 = 320,308/x
  3. Step 3: Cross multiply
    145,702x = 320,308 × 320,308
  4. Step 4: Simplify right side
    145,702x = 102,597,214,864
  5. Step 5: Solve for x
    x = 102,597,214,864/145,702
  6. Step 6: Final answer
    x = 704,157.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.