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Finding the Third Proportional to 162,931.50 and 340,758.56

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Solution

The third proportional to 162,931.50 and 340,758.56 is: 712,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,931.50 : 340,758.56 = 340,758.56 : x
  2. Step 2: Convert to fraction form
    162,931.50/340,758.56 = 340,758.56/x
  3. Step 3: Cross multiply
    162,931.50x = 340,758.56 × 340,758.56
  4. Step 4: Simplify right side
    162,931.50x = 116,116,397,917.07
  5. Step 5: Solve for x
    x = 116,116,397,917.07/162,931.50
  6. Step 6: Final answer
    x = 712,670.04

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.