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Finding the Third Proportional to 156,570.38 and 348,999

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Solution

The third proportional to 156,570.38 and 348,999 is: 777,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,570.38 : 348,999 = 348,999 : x
  2. Step 2: Convert to fraction form
    156,570.38/348,999 = 348,999/x
  3. Step 3: Cross multiply
    156,570.38x = 348,999 × 348,999
  4. Step 4: Simplify right side
    156,570.38x = 121,800,302,001
  5. Step 5: Solve for x
    x = 121,800,302,001/156,570.38
  6. Step 6: Final answer
    x = 777,926.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.