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Finding the Third Proportional to 240,199 and 373,906

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Solution

The third proportional to 240,199 and 373,906 is: 582,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,199 : 373,906 = 373,906 : x
  2. Step 2: Convert to fraction form
    240,199/373,906 = 373,906/x
  3. Step 3: Cross multiply
    240,199x = 373,906 × 373,906
  4. Step 4: Simplify right side
    240,199x = 139,805,696,836
  5. Step 5: Solve for x
    x = 139,805,696,836/240,199
  6. Step 6: Final answer
    x = 582,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.