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Finding the Third Proportional to 174,194.25 and 254,569.50

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Solution

The third proportional to 174,194.25 and 254,569.50 is: 372,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,194.25 : 254,569.50 = 254,569.50 : x
  2. Step 2: Convert to fraction form
    174,194.25/254,569.50 = 254,569.50/x
  3. Step 3: Cross multiply
    174,194.25x = 254,569.50 × 254,569.50
  4. Step 4: Simplify right side
    174,194.25x = 64,805,630,330.25
  5. Step 5: Solve for x
    x = 64,805,630,330.25/174,194.25
  6. Step 6: Final answer
    x = 372,030.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.