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Finding the Third Proportional to 174,219.75 and 245,347.88

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Solution

The third proportional to 174,219.75 and 245,347.88 is: 345,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,219.75 : 245,347.88 = 245,347.88 : x
  2. Step 2: Convert to fraction form
    174,219.75/245,347.88 = 245,347.88/x
  3. Step 3: Cross multiply
    174,219.75x = 245,347.88 × 245,347.88
  4. Step 4: Simplify right side
    174,219.75x = 60,195,579,767.02
  5. Step 5: Solve for x
    x = 60,195,579,767.02/174,219.75
  6. Step 6: Final answer
    x = 345,515.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.