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Finding the Third Proportional to 256,122 and 370,023.75

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Solution

The third proportional to 256,122 and 370,023.75 is: 534,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,122 : 370,023.75 = 370,023.75 : x
  2. Step 2: Convert to fraction form
    256,122/370,023.75 = 370,023.75/x
  3. Step 3: Cross multiply
    256,122x = 370,023.75 × 370,023.75
  4. Step 4: Simplify right side
    256,122x = 136,917,575,564.06
  5. Step 5: Solve for x
    x = 136,917,575,564.06/256,122
  6. Step 6: Final answer
    x = 534,579.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.