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Finding the Third Proportional to 174,258 and 245,400

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Solution

The third proportional to 174,258 and 245,400 is: 345,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,258 : 245,400 = 245,400 : x
  2. Step 2: Convert to fraction form
    174,258/245,400 = 245,400/x
  3. Step 3: Cross multiply
    174,258x = 245,400 × 245,400
  4. Step 4: Simplify right side
    174,258x = 60,221,160,000
  5. Step 5: Solve for x
    x = 60,221,160,000/174,258
  6. Step 6: Final answer
    x = 345,586.20

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