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Finding the Third Proportional to 160,955 and 346,454

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Solution

The third proportional to 160,955 and 346,454 is: 745,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,955 : 346,454 = 346,454 : x
  2. Step 2: Convert to fraction form
    160,955/346,454 = 346,454/x
  3. Step 3: Cross multiply
    160,955x = 346,454 × 346,454
  4. Step 4: Simplify right side
    160,955x = 120,030,374,116
  5. Step 5: Solve for x
    x = 120,030,374,116/160,955
  6. Step 6: Final answer
    x = 745,738.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.