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Finding the Third Proportional to 142,403.06 and 214,698.09

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Solution

The third proportional to 142,403.06 and 214,698.09 is: 323,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,403.06 : 214,698.09 = 214,698.09 : x
  2. Step 2: Convert to fraction form
    142,403.06/214,698.09 = 214,698.09/x
  3. Step 3: Cross multiply
    142,403.06x = 214,698.09 × 214,698.09
  4. Step 4: Simplify right side
    142,403.06x = 46,095,271,459.88
  5. Step 5: Solve for x
    x = 46,095,271,459.88/142,403.06
  6. Step 6: Final answer
    x = 323,695.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.