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Finding the Third Proportional to 145,187 and 308,003

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Solution

The third proportional to 145,187 and 308,003 is: 653,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,187 : 308,003 = 308,003 : x
  2. Step 2: Convert to fraction form
    145,187/308,003 = 308,003/x
  3. Step 3: Cross multiply
    145,187x = 308,003 × 308,003
  4. Step 4: Simplify right side
    145,187x = 94,865,848,009
  5. Step 5: Solve for x
    x = 94,865,848,009/145,187
  6. Step 6: Final answer
    x = 653,404.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.