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Finding the Third Proportional to 183,531 and 283,664.50

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Solution

The third proportional to 183,531 and 283,664.50 is: 438,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,531 : 283,664.50 = 283,664.50 : x
  2. Step 2: Convert to fraction form
    183,531/283,664.50 = 283,664.50/x
  3. Step 3: Cross multiply
    183,531x = 283,664.50 × 283,664.50
  4. Step 4: Simplify right side
    183,531x = 80,465,548,560.25
  5. Step 5: Solve for x
    x = 80,465,548,560.25/183,531
  6. Step 6: Final answer
    x = 438,430.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.