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Finding the Third Proportional to 254,699 and 344,680

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Solution

The third proportional to 254,699 and 344,680 is: 466,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,699 : 344,680 = 344,680 : x
  2. Step 2: Convert to fraction form
    254,699/344,680 = 344,680/x
  3. Step 3: Cross multiply
    254,699x = 344,680 × 344,680
  4. Step 4: Simplify right side
    254,699x = 118,804,302,400
  5. Step 5: Solve for x
    x = 118,804,302,400/254,699
  6. Step 6: Final answer
    x = 466,449.82

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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.