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Finding the Third Proportional to 160,512 and 341,758.50

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Solution

The third proportional to 160,512 and 341,758.50 is: 727,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,512 : 341,758.50 = 341,758.50 : x
  2. Step 2: Convert to fraction form
    160,512/341,758.50 = 341,758.50/x
  3. Step 3: Cross multiply
    160,512x = 341,758.50 × 341,758.50
  4. Step 4: Simplify right side
    160,512x = 116,798,872,322.25
  5. Step 5: Solve for x
    x = 116,798,872,322.25/160,512
  6. Step 6: Final answer
    x = 727,664.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.