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Finding the Third Proportional to 183,396 and 280,539

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Solution

The third proportional to 183,396 and 280,539 is: 429,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,396 : 280,539 = 280,539 : x
  2. Step 2: Convert to fraction form
    183,396/280,539 = 280,539/x
  3. Step 3: Cross multiply
    183,396x = 280,539 × 280,539
  4. Step 4: Simplify right side
    183,396x = 78,702,130,521
  5. Step 5: Solve for x
    x = 78,702,130,521/183,396
  6. Step 6: Final answer
    x = 429,137.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.