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Finding the Third Proportional to 183,030 and 395,670

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Solution

The third proportional to 183,030 and 395,670 is: 855,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,030 : 395,670 = 395,670 : x
  2. Step 2: Convert to fraction form
    183,030/395,670 = 395,670/x
  3. Step 3: Cross multiply
    183,030x = 395,670 × 395,670
  4. Step 4: Simplify right side
    183,030x = 156,554,748,900
  5. Step 5: Solve for x
    x = 156,554,748,900/183,030
  6. Step 6: Final answer
    x = 855,350.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.