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Finding the Third Proportional to 139,055.50 and 304,247

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Solution

The third proportional to 139,055.50 and 304,247 is: 665,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,055.50 : 304,247 = 304,247 : x
  2. Step 2: Convert to fraction form
    139,055.50/304,247 = 304,247/x
  3. Step 3: Cross multiply
    139,055.50x = 304,247 × 304,247
  4. Step 4: Simplify right side
    139,055.50x = 92,566,237,009
  5. Step 5: Solve for x
    x = 92,566,237,009/139,055.50
  6. Step 6: Final answer
    x = 665,678.36

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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.