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Finding the Third Proportional to 146,835 and 320,310

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Solution

The third proportional to 146,835 and 320,310 is: 698,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,835 : 320,310 = 320,310 : x
  2. Step 2: Convert to fraction form
    146,835/320,310 = 320,310/x
  3. Step 3: Cross multiply
    146,835x = 320,310 × 320,310
  4. Step 4: Simplify right side
    146,835x = 102,598,496,100
  5. Step 5: Solve for x
    x = 102,598,496,100/146,835
  6. Step 6: Final answer
    x = 698,733.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.