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Finding the Third Proportional to 179,772 and 390,101

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Solution

The third proportional to 179,772 and 390,101 is: 846,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,772 : 390,101 = 390,101 : x
  2. Step 2: Convert to fraction form
    179,772/390,101 = 390,101/x
  3. Step 3: Cross multiply
    179,772x = 390,101 × 390,101
  4. Step 4: Simplify right side
    179,772x = 152,178,790,201
  5. Step 5: Solve for x
    x = 152,178,790,201/179,772
  6. Step 6: Final answer
    x = 846,509.97

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Why These Related Problems?

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