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Finding the Third Proportional to 282,197 and 376,207

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Solution

The third proportional to 282,197 and 376,207 is: 501,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,197 : 376,207 = 376,207 : x
  2. Step 2: Convert to fraction form
    282,197/376,207 = 376,207/x
  3. Step 3: Cross multiply
    282,197x = 376,207 × 376,207
  4. Step 4: Simplify right side
    282,197x = 141,531,706,849
  5. Step 5: Solve for x
    x = 141,531,706,849/282,197
  6. Step 6: Final answer
    x = 501,535.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.