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Finding the Third Proportional to 223,882 and 310,297

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Solution

The third proportional to 223,882 and 310,297 is: 430,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,882 : 310,297 = 310,297 : x
  2. Step 2: Convert to fraction form
    223,882/310,297 = 310,297/x
  3. Step 3: Cross multiply
    223,882x = 310,297 × 310,297
  4. Step 4: Simplify right side
    223,882x = 96,284,228,209
  5. Step 5: Solve for x
    x = 96,284,228,209/223,882
  6. Step 6: Final answer
    x = 430,066.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.