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Finding the Third Proportional to 183,342 and 406,050.75

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Solution

The third proportional to 183,342 and 406,050.75 is: 899,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,342 : 406,050.75 = 406,050.75 : x
  2. Step 2: Convert to fraction form
    183,342/406,050.75 = 406,050.75/x
  3. Step 3: Cross multiply
    183,342x = 406,050.75 × 406,050.75
  4. Step 4: Simplify right side
    183,342x = 164,877,211,575.56
  5. Step 5: Solve for x
    x = 164,877,211,575.56/183,342
  6. Step 6: Final answer
    x = 899,287.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.