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Finding the Third Proportional to 152,270 and 334,916

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Solution

The third proportional to 152,270 and 334,916 is: 736,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,270 : 334,916 = 334,916 : x
  2. Step 2: Convert to fraction form
    152,270/334,916 = 334,916/x
  3. Step 3: Cross multiply
    152,270x = 334,916 × 334,916
  4. Step 4: Simplify right side
    152,270x = 112,168,727,056
  5. Step 5: Solve for x
    x = 112,168,727,056/152,270
  6. Step 6: Final answer
    x = 736,643.64

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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.