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Finding the Third Proportional to 146,188 and 314,935

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Solution

The third proportional to 146,188 and 314,935 is: 678,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,188 : 314,935 = 314,935 : x
  2. Step 2: Convert to fraction form
    146,188/314,935 = 314,935/x
  3. Step 3: Cross multiply
    146,188x = 314,935 × 314,935
  4. Step 4: Simplify right side
    146,188x = 99,184,054,225
  5. Step 5: Solve for x
    x = 99,184,054,225/146,188
  6. Step 6: Final answer
    x = 678,469.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.