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Finding the Third Proportional to 174,893 and 362,224

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Solution

The third proportional to 174,893 and 362,224 is: 750,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893 : 362,224 = 362,224 : x
  2. Step 2: Convert to fraction form
    174,893/362,224 = 362,224/x
  3. Step 3: Cross multiply
    174,893x = 362,224 × 362,224
  4. Step 4: Simplify right side
    174,893x = 131,206,226,176
  5. Step 5: Solve for x
    x = 131,206,226,176/174,893
  6. Step 6: Final answer
    x = 750,208.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.