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Finding the Third Proportional to 160,452.75 and 343,676.25

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Solution

The third proportional to 160,452.75 and 343,676.25 is: 736,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,452.75 : 343,676.25 = 343,676.25 : x
  2. Step 2: Convert to fraction form
    160,452.75/343,676.25 = 343,676.25/x
  3. Step 3: Cross multiply
    160,452.75x = 343,676.25 × 343,676.25
  4. Step 4: Simplify right side
    160,452.75x = 118,113,364,814.06
  5. Step 5: Solve for x
    x = 118,113,364,814.06/160,452.75
  6. Step 6: Final answer
    x = 736,125.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.