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Finding the Third Proportional to 139,185 and 304,969.50

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Solution

The third proportional to 139,185 and 304,969.50 is: 668,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,185 : 304,969.50 = 304,969.50 : x
  2. Step 2: Convert to fraction form
    139,185/304,969.50 = 304,969.50/x
  3. Step 3: Cross multiply
    139,185x = 304,969.50 × 304,969.50
  4. Step 4: Simplify right side
    139,185x = 93,006,395,930.25
  5. Step 5: Solve for x
    x = 93,006,395,930.25/139,185
  6. Step 6: Final answer
    x = 668,221.40

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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.