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Finding the Third Proportional to 159,030 and 245,925

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Solution

The third proportional to 159,030 and 245,925 is: 380,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,030 : 245,925 = 245,925 : x
  2. Step 2: Convert to fraction form
    159,030/245,925 = 245,925/x
  3. Step 3: Cross multiply
    159,030x = 245,925 × 245,925
  4. Step 4: Simplify right side
    159,030x = 60,479,105,625
  5. Step 5: Solve for x
    x = 60,479,105,625/159,030
  6. Step 6: Final answer
    x = 380,299.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.