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Finding the Third Proportional to 174,195 and 254,570.25

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Solution

The third proportional to 174,195 and 254,570.25 is: 372,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,195 : 254,570.25 = 254,570.25 : x
  2. Step 2: Convert to fraction form
    174,195/254,570.25 = 254,570.25/x
  3. Step 3: Cross multiply
    174,195x = 254,570.25 × 254,570.25
  4. Step 4: Simplify right side
    174,195x = 64,806,012,185.06
  5. Step 5: Solve for x
    x = 64,806,012,185.06/174,195
  6. Step 6: Final answer
    x = 372,031.41

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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.