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Finding the Third Proportional to 180,312.75 and 285,521.25

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Solution

The third proportional to 180,312.75 and 285,521.25 is: 452,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312.75 : 285,521.25 = 285,521.25 : x
  2. Step 2: Convert to fraction form
    180,312.75/285,521.25 = 285,521.25/x
  3. Step 3: Cross multiply
    180,312.75x = 285,521.25 × 285,521.25
  4. Step 4: Simplify right side
    180,312.75x = 81,522,384,201.56
  5. Step 5: Solve for x
    x = 81,522,384,201.56/180,312.75
  6. Step 6: Final answer
    x = 452,116.58

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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.