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Finding the Third Proportional to 140,584 and 292,834

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Solution

The third proportional to 140,584 and 292,834 is: 609,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,584 : 292,834 = 292,834 : x
  2. Step 2: Convert to fraction form
    140,584/292,834 = 292,834/x
  3. Step 3: Cross multiply
    140,584x = 292,834 × 292,834
  4. Step 4: Simplify right side
    140,584x = 85,751,751,556
  5. Step 5: Solve for x
    x = 85,751,751,556/140,584
  6. Step 6: Final answer
    x = 609,968.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.