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Finding the Third Proportional to 161,152 and 353,408

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Solution

The third proportional to 161,152 and 353,408 is: 775,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,152 : 353,408 = 353,408 : x
  2. Step 2: Convert to fraction form
    161,152/353,408 = 353,408/x
  3. Step 3: Cross multiply
    161,152x = 353,408 × 353,408
  4. Step 4: Simplify right side
    161,152x = 124,897,214,464
  5. Step 5: Solve for x
    x = 124,897,214,464/161,152
  6. Step 6: Final answer
    x = 775,027.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.