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Finding the Third Proportional to 256,174.31 and 375,954.75

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Solution

The third proportional to 256,174.31 and 375,954.75 is: 551,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,174.31 : 375,954.75 = 375,954.75 : x
  2. Step 2: Convert to fraction form
    256,174.31/375,954.75 = 375,954.75/x
  3. Step 3: Cross multiply
    256,174.31x = 375,954.75 × 375,954.75
  4. Step 4: Simplify right side
    256,174.31x = 141,341,974,047.56
  5. Step 5: Solve for x
    x = 141,341,974,047.56/256,174.31
  6. Step 6: Final answer
    x = 551,741.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.