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Finding the Third Proportional to 174,206 and 245,320

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Solution

The third proportional to 174,206 and 245,320 is: 345,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206 : 245,320 = 245,320 : x
  2. Step 2: Convert to fraction form
    174,206/245,320 = 245,320/x
  3. Step 3: Cross multiply
    174,206x = 245,320 × 245,320
  4. Step 4: Simplify right side
    174,206x = 60,181,902,400
  5. Step 5: Solve for x
    x = 60,181,902,400/174,206
  6. Step 6: Final answer
    x = 345,464.00

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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.