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Finding the Third Proportional to 175,458 and 256,080

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Solution

The third proportional to 175,458 and 256,080 is: 373,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,458 : 256,080 = 256,080 : x
  2. Step 2: Convert to fraction form
    175,458/256,080 = 256,080/x
  3. Step 3: Cross multiply
    175,458x = 256,080 × 256,080
  4. Step 4: Simplify right side
    175,458x = 65,576,966,400
  5. Step 5: Solve for x
    x = 65,576,966,400/175,458
  6. Step 6: Final answer
    x = 373,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.