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Finding the Third Proportional to 219,140 and 328,224

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Solution

The third proportional to 219,140 and 328,224 is: 491,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,140 : 328,224 = 328,224 : x
  2. Step 2: Convert to fraction form
    219,140/328,224 = 328,224/x
  3. Step 3: Cross multiply
    219,140x = 328,224 × 328,224
  4. Step 4: Simplify right side
    219,140x = 107,730,994,176
  5. Step 5: Solve for x
    x = 107,730,994,176/219,140
  6. Step 6: Final answer
    x = 491,608.08

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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.