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Finding the Third Proportional to 139,484 and 305,050

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Solution

The third proportional to 139,484 and 305,050 is: 667,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484 : 305,050 = 305,050 : x
  2. Step 2: Convert to fraction form
    139,484/305,050 = 305,050/x
  3. Step 3: Cross multiply
    139,484x = 305,050 × 305,050
  4. Step 4: Simplify right side
    139,484x = 93,055,502,500
  5. Step 5: Solve for x
    x = 93,055,502,500/139,484
  6. Step 6: Final answer
    x = 667,141.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.