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Finding the Third Proportional to 248,890.50 and 382,779

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Solution

The third proportional to 248,890.50 and 382,779 is: 588,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,890.50 : 382,779 = 382,779 : x
  2. Step 2: Convert to fraction form
    248,890.50/382,779 = 382,779/x
  3. Step 3: Cross multiply
    248,890.50x = 382,779 × 382,779
  4. Step 4: Simplify right side
    248,890.50x = 146,519,762,841
  5. Step 5: Solve for x
    x = 146,519,762,841/248,890.50
  6. Step 6: Final answer
    x = 588,691.66

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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.