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Finding the Third Proportional to 163,610.50 and 342,043

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Solution

The third proportional to 163,610.50 and 342,043 is: 715,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,610.50 : 342,043 = 342,043 : x
  2. Step 2: Convert to fraction form
    163,610.50/342,043 = 342,043/x
  3. Step 3: Cross multiply
    163,610.50x = 342,043 × 342,043
  4. Step 4: Simplify right side
    163,610.50x = 116,993,413,849
  5. Step 5: Solve for x
    x = 116,993,413,849/163,610.50
  6. Step 6: Final answer
    x = 715,072.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.