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Finding the Third Proportional to 173,988 and 370,763

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Solution

The third proportional to 173,988 and 370,763 is: 790,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,988 : 370,763 = 370,763 : x
  2. Step 2: Convert to fraction form
    173,988/370,763 = 370,763/x
  3. Step 3: Cross multiply
    173,988x = 370,763 × 370,763
  4. Step 4: Simplify right side
    173,988x = 137,465,202,169
  5. Step 5: Solve for x
    x = 137,465,202,169/173,988
  6. Step 6: Final answer
    x = 790,084.39

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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.