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Finding the Third Proportional to 114,308.06 and 178,004.06

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Solution

The third proportional to 114,308.06 and 178,004.06 is: 277,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,308.06 : 178,004.06 = 178,004.06 : x
  2. Step 2: Convert to fraction form
    114,308.06/178,004.06 = 178,004.06/x
  3. Step 3: Cross multiply
    114,308.06x = 178,004.06 × 178,004.06
  4. Step 4: Simplify right side
    114,308.06x = 31,685,446,266.50
  5. Step 5: Solve for x
    x = 31,685,446,266.50/114,308.06
  6. Step 6: Final answer
    x = 277,193.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.