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Finding the Third Proportional to 164,035.50 and 341,158.50

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Solution

The third proportional to 164,035.50 and 341,158.50 is: 709,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,035.50 : 341,158.50 = 341,158.50 : x
  2. Step 2: Convert to fraction form
    164,035.50/341,158.50 = 341,158.50/x
  3. Step 3: Cross multiply
    164,035.50x = 341,158.50 × 341,158.50
  4. Step 4: Simplify right side
    164,035.50x = 116,389,122,122.25
  5. Step 5: Solve for x
    x = 116,389,122,122.25/164,035.50
  6. Step 6: Final answer
    x = 709,536.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.