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Finding the Third Proportional to 173,016 and 373,680

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Solution

The third proportional to 173,016 and 373,680 is: 807,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,016 : 373,680 = 373,680 : x
  2. Step 2: Convert to fraction form
    173,016/373,680 = 373,680/x
  3. Step 3: Cross multiply
    173,016x = 373,680 × 373,680
  4. Step 4: Simplify right side
    173,016x = 139,636,742,400
  5. Step 5: Solve for x
    x = 139,636,742,400/173,016
  6. Step 6: Final answer
    x = 807,074.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.