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Finding the Third Proportional to 173,869 and 370,703.50

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Solution

The third proportional to 173,869 and 370,703.50 is: 790,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 370,703.50 = 370,703.50 : x
  2. Step 2: Convert to fraction form
    173,869/370,703.50 = 370,703.50/x
  3. Step 3: Cross multiply
    173,869x = 370,703.50 × 370,703.50
  4. Step 4: Simplify right side
    173,869x = 137,421,084,912.25
  5. Step 5: Solve for x
    x = 137,421,084,912.25/173,869
  6. Step 6: Final answer
    x = 790,371.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.