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Finding the Third Proportional to 146,439 and 319,729.50

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Solution

The third proportional to 146,439 and 319,729.50 is: 698,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,439 : 319,729.50 = 319,729.50 : x
  2. Step 2: Convert to fraction form
    146,439/319,729.50 = 319,729.50/x
  3. Step 3: Cross multiply
    146,439x = 319,729.50 × 319,729.50
  4. Step 4: Simplify right side
    146,439x = 102,226,953,170.25
  5. Step 5: Solve for x
    x = 102,226,953,170.25/146,439
  6. Step 6: Final answer
    x = 698,085.57

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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.