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Finding the Third Proportional to 248,440.50 and 382,329

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Solution

The third proportional to 248,440.50 and 382,329 is: 588,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,440.50 : 382,329 = 382,329 : x
  2. Step 2: Convert to fraction form
    248,440.50/382,329 = 382,329/x
  3. Step 3: Cross multiply
    248,440.50x = 382,329 × 382,329
  4. Step 4: Simplify right side
    248,440.50x = 146,175,464,241
  5. Step 5: Solve for x
    x = 146,175,464,241/248,440.50
  6. Step 6: Final answer
    x = 588,372.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.