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Finding the Third Proportional to 140,582 and 292,830

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Solution

The third proportional to 140,582 and 292,830 is: 609,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,582 : 292,830 = 292,830 : x
  2. Step 2: Convert to fraction form
    140,582/292,830 = 292,830/x
  3. Step 3: Cross multiply
    140,582x = 292,830 × 292,830
  4. Step 4: Simplify right side
    140,582x = 85,749,408,900
  5. Step 5: Solve for x
    x = 85,749,408,900/140,582
  6. Step 6: Final answer
    x = 609,960.09

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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.