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Finding the Third Proportional to 152,270 and 350,948

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Solution

The third proportional to 152,270 and 350,948 is: 808,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,270 : 350,948 = 350,948 : x
  2. Step 2: Convert to fraction form
    152,270/350,948 = 350,948/x
  3. Step 3: Cross multiply
    152,270x = 350,948 × 350,948
  4. Step 4: Simplify right side
    152,270x = 123,164,498,704
  5. Step 5: Solve for x
    x = 123,164,498,704/152,270
  6. Step 6: Final answer
    x = 808,855.97

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.