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Finding the Third Proportional to 183,708 and 290,324.25

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Solution

The third proportional to 183,708 and 290,324.25 is: 458,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,708 : 290,324.25 = 290,324.25 : x
  2. Step 2: Convert to fraction form
    183,708/290,324.25 = 290,324.25/x
  3. Step 3: Cross multiply
    183,708x = 290,324.25 × 290,324.25
  4. Step 4: Simplify right side
    183,708x = 84,288,170,138.06
  5. Step 5: Solve for x
    x = 84,288,170,138.06/183,708
  6. Step 6: Final answer
    x = 458,816.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.