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Finding the Third Proportional to 168,547.50 and 361,881

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Solution

The third proportional to 168,547.50 and 361,881 is: 776,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,547.50 : 361,881 = 361,881 : x
  2. Step 2: Convert to fraction form
    168,547.50/361,881 = 361,881/x
  3. Step 3: Cross multiply
    168,547.50x = 361,881 × 361,881
  4. Step 4: Simplify right side
    168,547.50x = 130,957,858,161
  5. Step 5: Solve for x
    x = 130,957,858,161/168,547.50
  6. Step 6: Final answer
    x = 776,978.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.