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Finding the Third Proportional to 183,693 and 278,308

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Solution

The third proportional to 183,693 and 278,308 is: 421,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,693 : 278,308 = 278,308 : x
  2. Step 2: Convert to fraction form
    183,693/278,308 = 278,308/x
  3. Step 3: Cross multiply
    183,693x = 278,308 × 278,308
  4. Step 4: Simplify right side
    183,693x = 77,455,342,864
  5. Step 5: Solve for x
    x = 77,455,342,864/183,693
  6. Step 6: Final answer
    x = 421,656.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.