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Finding the Third Proportional to 163,595 and 245,393

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Solution

The third proportional to 163,595 and 245,393 is: 368,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,595 : 245,393 = 245,393 : x
  2. Step 2: Convert to fraction form
    163,595/245,393 = 245,393/x
  3. Step 3: Cross multiply
    163,595x = 245,393 × 245,393
  4. Step 4: Simplify right side
    163,595x = 60,217,724,449
  5. Step 5: Solve for x
    x = 60,217,724,449/163,595
  6. Step 6: Final answer
    x = 368,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.