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Finding the Third Proportional to 97,494 and 209,784

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Solution

The third proportional to 97,494 and 209,784 is: 451,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494 : 209,784 = 209,784 : x
  2. Step 2: Convert to fraction form
    97,494/209,784 = 209,784/x
  3. Step 3: Cross multiply
    97,494x = 209,784 × 209,784
  4. Step 4: Simplify right side
    97,494x = 44,009,326,656
  5. Step 5: Solve for x
    x = 44,009,326,656/97,494
  6. Step 6: Final answer
    x = 451,405.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.