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Finding the Third Proportional to 134,929 and 214,453.50

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Solution

The third proportional to 134,929 and 214,453.50 is: 340,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,929 : 214,453.50 = 214,453.50 : x
  2. Step 2: Convert to fraction form
    134,929/214,453.50 = 214,453.50/x
  3. Step 3: Cross multiply
    134,929x = 214,453.50 × 214,453.50
  4. Step 4: Simplify right side
    134,929x = 45,990,303,662.25
  5. Step 5: Solve for x
    x = 45,990,303,662.25/134,929
  6. Step 6: Final answer
    x = 340,848.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.