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Finding the Third Proportional to 254,693.25 and 344,673

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Solution

The third proportional to 254,693.25 and 344,673 is: 466,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,693.25 : 344,673 = 344,673 : x
  2. Step 2: Convert to fraction form
    254,693.25/344,673 = 344,673/x
  3. Step 3: Cross multiply
    254,693.25x = 344,673 × 344,673
  4. Step 4: Simplify right side
    254,693.25x = 118,799,476,929
  5. Step 5: Solve for x
    x = 118,799,476,929/254,693.25
  6. Step 6: Final answer
    x = 466,441.40

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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.