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Finding the Third Proportional to 120,044 and 258,303

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Solution

The third proportional to 120,044 and 258,303 is: 555,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,044 : 258,303 = 258,303 : x
  2. Step 2: Convert to fraction form
    120,044/258,303 = 258,303/x
  3. Step 3: Cross multiply
    120,044x = 258,303 × 258,303
  4. Step 4: Simplify right side
    120,044x = 66,720,439,809
  5. Step 5: Solve for x
    x = 66,720,439,809/120,044
  6. Step 6: Final answer
    x = 555,799.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.