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Finding the Third Proportional to 116,580.20 and 174,148.42

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Solution

The third proportional to 116,580.20 and 174,148.42 is: 260,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,580.20 : 174,148.42 = 174,148.42 : x
  2. Step 2: Convert to fraction form
    116,580.20/174,148.42 = 174,148.42/x
  3. Step 3: Cross multiply
    116,580.20x = 174,148.42 × 174,148.42
  4. Step 4: Simplify right side
    116,580.20x = 30,327,671,481.02
  5. Step 5: Solve for x
    x = 30,327,671,481.02/116,580.20
  6. Step 6: Final answer
    x = 260,144.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.