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Finding the Third Proportional to 152,224 and 328,839

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Solution

The third proportional to 152,224 and 328,839 is: 710,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,224 : 328,839 = 328,839 : x
  2. Step 2: Convert to fraction form
    152,224/328,839 = 328,839/x
  3. Step 3: Cross multiply
    152,224x = 328,839 × 328,839
  4. Step 4: Simplify right side
    152,224x = 108,135,087,921
  5. Step 5: Solve for x
    x = 108,135,087,921/152,224
  6. Step 6: Final answer
    x = 710,368.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.