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Finding the Third Proportional to 174,946.50 and 270,148.50

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Solution

The third proportional to 174,946.50 and 270,148.50 is: 417,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,946.50 : 270,148.50 = 270,148.50 : x
  2. Step 2: Convert to fraction form
    174,946.50/270,148.50 = 270,148.50/x
  3. Step 3: Cross multiply
    174,946.50x = 270,148.50 × 270,148.50
  4. Step 4: Simplify right side
    174,946.50x = 72,980,212,052.25
  5. Step 5: Solve for x
    x = 72,980,212,052.25/174,946.50
  6. Step 6: Final answer
    x = 417,157.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.