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Finding the Third Proportional to 94,854 and 219,598

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Solution

The third proportional to 94,854 and 219,598 is: 508,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,854 : 219,598 = 219,598 : x
  2. Step 2: Convert to fraction form
    94,854/219,598 = 219,598/x
  3. Step 3: Cross multiply
    94,854x = 219,598 × 219,598
  4. Step 4: Simplify right side
    94,854x = 48,223,281,604
  5. Step 5: Solve for x
    x = 48,223,281,604/94,854
  6. Step 6: Final answer
    x = 508,394.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.