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Finding the Third Proportional to 146,342 and 319,210

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Solution

The third proportional to 146,342 and 319,210 is: 696,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,342 : 319,210 = 319,210 : x
  2. Step 2: Convert to fraction form
    146,342/319,210 = 319,210/x
  3. Step 3: Cross multiply
    146,342x = 319,210 × 319,210
  4. Step 4: Simplify right side
    146,342x = 101,895,024,100
  5. Step 5: Solve for x
    x = 101,895,024,100/146,342
  6. Step 6: Final answer
    x = 696,280.11

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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.