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Finding the Third Proportional to 139,289.63 and 325,463.06

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Solution

The third proportional to 139,289.63 and 325,463.06 is: 760,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,289.63 : 325,463.06 = 325,463.06 : x
  2. Step 2: Convert to fraction form
    139,289.63/325,463.06 = 325,463.06/x
  3. Step 3: Cross multiply
    139,289.63x = 325,463.06 × 325,463.06
  4. Step 4: Simplify right side
    139,289.63x = 105,926,205,051.88
  5. Step 5: Solve for x
    x = 105,926,205,051.88/139,289.63
  6. Step 6: Final answer
    x = 760,474.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.