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Finding the Third Proportional to 254,670.75 and 344,637.56

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Solution

The third proportional to 254,670.75 and 344,637.56 is: 466,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,670.75 : 344,637.56 = 344,637.56 : x
  2. Step 2: Convert to fraction form
    254,670.75/344,637.56 = 344,637.56/x
  3. Step 3: Cross multiply
    254,670.75x = 344,637.56 × 344,637.56
  4. Step 4: Simplify right side
    254,670.75x = 118,775,049,485.94
  5. Step 5: Solve for x
    x = 118,775,049,485.94/254,670.75
  6. Step 6: Final answer
    x = 466,386.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.