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Finding the Third Proportional to 146,236.50 and 319,239

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Solution

The third proportional to 146,236.50 and 319,239 is: 696,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236.50 : 319,239 = 319,239 : x
  2. Step 2: Convert to fraction form
    146,236.50/319,239 = 319,239/x
  3. Step 3: Cross multiply
    146,236.50x = 319,239 × 319,239
  4. Step 4: Simplify right side
    146,236.50x = 101,913,539,121
  5. Step 5: Solve for x
    x = 101,913,539,121/146,236.50
  6. Step 6: Final answer
    x = 696,909.04

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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.