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Finding the Third Proportional to 139,005 and 303,501.75

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Solution

The third proportional to 139,005 and 303,501.75 is: 662,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,005 : 303,501.75 = 303,501.75 : x
  2. Step 2: Convert to fraction form
    139,005/303,501.75 = 303,501.75/x
  3. Step 3: Cross multiply
    139,005x = 303,501.75 × 303,501.75
  4. Step 4: Simplify right side
    139,005x = 92,113,312,253.06
  5. Step 5: Solve for x
    x = 92,113,312,253.06/139,005
  6. Step 6: Final answer
    x = 662,661.86

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Why These Related Problems?

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