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Finding the Third Proportional to 183,567.50 and 285,821.50

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Solution

The third proportional to 183,567.50 and 285,821.50 is: 445,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,567.50 : 285,821.50 = 285,821.50 : x
  2. Step 2: Convert to fraction form
    183,567.50/285,821.50 = 285,821.50/x
  3. Step 3: Cross multiply
    183,567.50x = 285,821.50 × 285,821.50
  4. Step 4: Simplify right side
    183,567.50x = 81,693,929,862.25
  5. Step 5: Solve for x
    x = 81,693,929,862.25/183,567.50
  6. Step 6: Final answer
    x = 445,034.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.