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Finding the Third Proportional to 146,534 and 319,310

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Solution

The third proportional to 146,534 and 319,310 is: 695,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,534 : 319,310 = 319,310 : x
  2. Step 2: Convert to fraction form
    146,534/319,310 = 319,310/x
  3. Step 3: Cross multiply
    146,534x = 319,310 × 319,310
  4. Step 4: Simplify right side
    146,534x = 101,958,876,100
  5. Step 5: Solve for x
    x = 101,958,876,100/146,534
  6. Step 6: Final answer
    x = 695,803.54

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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.