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Finding the Third Proportional to 158,590.13 and 341,937.56

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Solution

The third proportional to 158,590.13 and 341,937.56 is: 737,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,590.13 : 341,937.56 = 341,937.56 : x
  2. Step 2: Convert to fraction form
    158,590.13/341,937.56 = 341,937.56/x
  3. Step 3: Cross multiply
    158,590.13x = 341,937.56 × 341,937.56
  4. Step 4: Simplify right side
    158,590.13x = 116,921,296,648.44
  5. Step 5: Solve for x
    x = 116,921,296,648.44/158,590.13
  6. Step 6: Final answer
    x = 737,254.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.