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Finding the Third Proportional to 282,201 and 376,213

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Solution

The third proportional to 282,201 and 376,213 is: 501,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,201 : 376,213 = 376,213 : x
  2. Step 2: Convert to fraction form
    282,201/376,213 = 376,213/x
  3. Step 3: Cross multiply
    282,201x = 376,213 × 376,213
  4. Step 4: Simplify right side
    282,201x = 141,536,221,369
  5. Step 5: Solve for x
    x = 141,536,221,369/282,201
  6. Step 6: Final answer
    x = 501,544.01

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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.