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Finding the Third Proportional to 182,522.25 and 390,267

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Solution

The third proportional to 182,522.25 and 390,267 is: 834,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,522.25 : 390,267 = 390,267 : x
  2. Step 2: Convert to fraction form
    182,522.25/390,267 = 390,267/x
  3. Step 3: Cross multiply
    182,522.25x = 390,267 × 390,267
  4. Step 4: Simplify right side
    182,522.25x = 152,308,331,289
  5. Step 5: Solve for x
    x = 152,308,331,289/182,522.25
  6. Step 6: Final answer
    x = 834,464.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.