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Finding the Third Proportional to 183,853.50 and 257,787

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Solution

The third proportional to 183,853.50 and 257,787 is: 361,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,853.50 : 257,787 = 257,787 : x
  2. Step 2: Convert to fraction form
    183,853.50/257,787 = 257,787/x
  3. Step 3: Cross multiply
    183,853.50x = 257,787 × 257,787
  4. Step 4: Simplify right side
    183,853.50x = 66,454,137,369
  5. Step 5: Solve for x
    x = 66,454,137,369/183,853.50
  6. Step 6: Final answer
    x = 361,451.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.