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Finding the Third Proportional to 156,798 and 343,044

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Solution

The third proportional to 156,798 and 343,044 is: 750,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 343,044 = 343,044 : x
  2. Step 2: Convert to fraction form
    156,798/343,044 = 343,044/x
  3. Step 3: Cross multiply
    156,798x = 343,044 × 343,044
  4. Step 4: Simplify right side
    156,798x = 117,679,185,936
  5. Step 5: Solve for x
    x = 117,679,185,936/156,798
  6. Step 6: Final answer
    x = 750,514.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.