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Finding the Third Proportional to 116,303.50 and 167,678

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Solution

The third proportional to 116,303.50 and 167,678 is: 241,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,303.50 : 167,678 = 167,678 : x
  2. Step 2: Convert to fraction form
    116,303.50/167,678 = 167,678/x
  3. Step 3: Cross multiply
    116,303.50x = 167,678 × 167,678
  4. Step 4: Simplify right side
    116,303.50x = 28,115,911,684
  5. Step 5: Solve for x
    x = 28,115,911,684/116,303.50
  6. Step 6: Final answer
    x = 241,746.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.