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Finding the Third Proportional to 249,082 and 376,219

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Solution

The third proportional to 249,082 and 376,219 is: 568,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,082 : 376,219 = 376,219 : x
  2. Step 2: Convert to fraction form
    249,082/376,219 = 376,219/x
  3. Step 3: Cross multiply
    249,082x = 376,219 × 376,219
  4. Step 4: Simplify right side
    249,082x = 141,540,735,961
  5. Step 5: Solve for x
    x = 141,540,735,961/249,082
  6. Step 6: Final answer
    x = 568,249.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.