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Finding the Third Proportional to 219,164 and 296,994

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Solution

The third proportional to 219,164 and 296,994 is: 402,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,164 : 296,994 = 296,994 : x
  2. Step 2: Convert to fraction form
    219,164/296,994 = 296,994/x
  3. Step 3: Cross multiply
    219,164x = 296,994 × 296,994
  4. Step 4: Simplify right side
    219,164x = 88,205,436,036
  5. Step 5: Solve for x
    x = 88,205,436,036/219,164
  6. Step 6: Final answer
    x = 402,463.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.