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Finding the Third Proportional to 282,199 and 376,210

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Solution

The third proportional to 282,199 and 376,210 is: 501,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,199 : 376,210 = 376,210 : x
  2. Step 2: Convert to fraction form
    282,199/376,210 = 376,210/x
  3. Step 3: Cross multiply
    282,199x = 376,210 × 376,210
  4. Step 4: Simplify right side
    282,199x = 141,533,964,100
  5. Step 5: Solve for x
    x = 141,533,964,100/282,199
  6. Step 6: Final answer
    x = 501,539.57

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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.