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Finding the Third Proportional to 152,158 and 335,420

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Solution

The third proportional to 152,158 and 335,420 is: 739,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158 : 335,420 = 335,420 : x
  2. Step 2: Convert to fraction form
    152,158/335,420 = 335,420/x
  3. Step 3: Cross multiply
    152,158x = 335,420 × 335,420
  4. Step 4: Simplify right side
    152,158x = 112,506,576,400
  5. Step 5: Solve for x
    x = 112,506,576,400/152,158
  6. Step 6: Final answer
    x = 739,406.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.