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Finding the Third Proportional to 235,976 and 373,833

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Solution

The third proportional to 235,976 and 373,833 is: 592,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,976 : 373,833 = 373,833 : x
  2. Step 2: Convert to fraction form
    235,976/373,833 = 373,833/x
  3. Step 3: Cross multiply
    235,976x = 373,833 × 373,833
  4. Step 4: Simplify right side
    235,976x = 139,751,111,889
  5. Step 5: Solve for x
    x = 139,751,111,889/235,976
  6. Step 6: Final answer
    x = 592,225.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.