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Finding the Third Proportional to 146,357 and 319,236

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Solution

The third proportional to 146,357 and 319,236 is: 696,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,357 : 319,236 = 319,236 : x
  2. Step 2: Convert to fraction form
    146,357/319,236 = 319,236/x
  3. Step 3: Cross multiply
    146,357x = 319,236 × 319,236
  4. Step 4: Simplify right side
    146,357x = 101,911,623,696
  5. Step 5: Solve for x
    x = 101,911,623,696/146,357
  6. Step 6: Final answer
    x = 696,322.17

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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.