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Finding the Third Proportional to 173,986 and 370,746

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Solution

The third proportional to 173,986 and 370,746 is: 790,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,986 : 370,746 = 370,746 : x
  2. Step 2: Convert to fraction form
    173,986/370,746 = 370,746/x
  3. Step 3: Cross multiply
    173,986x = 370,746 × 370,746
  4. Step 4: Simplify right side
    173,986x = 137,452,596,516
  5. Step 5: Solve for x
    x = 137,452,596,516/173,986
  6. Step 6: Final answer
    x = 790,021.02

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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.