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Finding the Third Proportional to 158,316.75 and 323,091

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Solution

The third proportional to 158,316.75 and 323,091 is: 659,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,316.75 : 323,091 = 323,091 : x
  2. Step 2: Convert to fraction form
    158,316.75/323,091 = 323,091/x
  3. Step 3: Cross multiply
    158,316.75x = 323,091 × 323,091
  4. Step 4: Simplify right side
    158,316.75x = 104,387,794,281
  5. Step 5: Solve for x
    x = 104,387,794,281/158,316.75
  6. Step 6: Final answer
    x = 659,360.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.