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Finding the Third Proportional to 160,798 and 236,379

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Solution

The third proportional to 160,798 and 236,379 is: 347,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798 : 236,379 = 236,379 : x
  2. Step 2: Convert to fraction form
    160,798/236,379 = 236,379/x
  3. Step 3: Cross multiply
    160,798x = 236,379 × 236,379
  4. Step 4: Simplify right side
    160,798x = 55,875,031,641
  5. Step 5: Solve for x
    x = 55,875,031,641/160,798
  6. Step 6: Final answer
    x = 347,485.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.