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Finding the Third Proportional to 187,267.21 and 412,708.68

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Solution

The third proportional to 187,267.21 and 412,708.68 is: 909,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,267.21 : 412,708.68 = 412,708.68 : x
  2. Step 2: Convert to fraction form
    187,267.21/412,708.68 = 412,708.68/x
  3. Step 3: Cross multiply
    187,267.21x = 412,708.68 × 412,708.68
  4. Step 4: Simplify right side
    187,267.21x = 170,328,458,319.75
  5. Step 5: Solve for x
    x = 170,328,458,319.75/187,267.21
  6. Step 6: Final answer
    x = 909,547.67

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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.