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Finding the Third Proportional to 152,055 and 323,784

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Solution

The third proportional to 152,055 and 323,784 is: 689,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,055 : 323,784 = 323,784 : x
  2. Step 2: Convert to fraction form
    152,055/323,784 = 323,784/x
  3. Step 3: Cross multiply
    152,055x = 323,784 × 323,784
  4. Step 4: Simplify right side
    152,055x = 104,836,078,656
  5. Step 5: Solve for x
    x = 104,836,078,656/152,055
  6. Step 6: Final answer
    x = 689,461.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.