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Finding the Third Proportional to 188,127 and 410,629.50

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Solution

The third proportional to 188,127 and 410,629.50 is: 896,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,127 : 410,629.50 = 410,629.50 : x
  2. Step 2: Convert to fraction form
    188,127/410,629.50 = 410,629.50/x
  3. Step 3: Cross multiply
    188,127x = 410,629.50 × 410,629.50
  4. Step 4: Simplify right side
    188,127x = 168,616,586,270.25
  5. Step 5: Solve for x
    x = 168,616,586,270.25/188,127
  6. Step 6: Final answer
    x = 896,291.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.