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Finding the Third Proportional to 144,985.50 and 219,483

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Solution

The third proportional to 144,985.50 and 219,483 is: 332,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,985.50 : 219,483 = 219,483 : x
  2. Step 2: Convert to fraction form
    144,985.50/219,483 = 219,483/x
  3. Step 3: Cross multiply
    144,985.50x = 219,483 × 219,483
  4. Step 4: Simplify right side
    144,985.50x = 48,172,787,289
  5. Step 5: Solve for x
    x = 48,172,787,289/144,985.50
  6. Step 6: Final answer
    x = 332,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.