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Finding the Third Proportional to 179,768 and 390,094

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Solution

The third proportional to 179,768 and 390,094 is: 846,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,768 : 390,094 = 390,094 : x
  2. Step 2: Convert to fraction form
    179,768/390,094 = 390,094/x
  3. Step 3: Cross multiply
    179,768x = 390,094 × 390,094
  4. Step 4: Simplify right side
    179,768x = 152,173,328,836
  5. Step 5: Solve for x
    x = 152,173,328,836/179,768
  6. Step 6: Final answer
    x = 846,498.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.