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Finding the Third Proportional to 146,985.75 and 219,903.75

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Solution

The third proportional to 146,985.75 and 219,903.75 is: 328,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,985.75 : 219,903.75 = 219,903.75 : x
  2. Step 2: Convert to fraction form
    146,985.75/219,903.75 = 219,903.75/x
  3. Step 3: Cross multiply
    146,985.75x = 219,903.75 × 219,903.75
  4. Step 4: Simplify right side
    146,985.75x = 48,357,659,264.06
  5. Step 5: Solve for x
    x = 48,357,659,264.06/146,985.75
  6. Step 6: Final answer
    x = 328,995.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.