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Finding the Third Proportional to 176,365 and 270,244.50

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Solution

The third proportional to 176,365 and 270,244.50 is: 414,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,365 : 270,244.50 = 270,244.50 : x
  2. Step 2: Convert to fraction form
    176,365/270,244.50 = 270,244.50/x
  3. Step 3: Cross multiply
    176,365x = 270,244.50 × 270,244.50
  4. Step 4: Simplify right side
    176,365x = 73,032,089,780.25
  5. Step 5: Solve for x
    x = 73,032,089,780.25/176,365
  6. Step 6: Final answer
    x = 414,096.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.