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Finding the Third Proportional to 164,762 and 357,956

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Solution

The third proportional to 164,762 and 357,956 is: 777,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,762 : 357,956 = 357,956 : x
  2. Step 2: Convert to fraction form
    164,762/357,956 = 357,956/x
  3. Step 3: Cross multiply
    164,762x = 357,956 × 357,956
  4. Step 4: Simplify right side
    164,762x = 128,132,497,936
  5. Step 5: Solve for x
    x = 128,132,497,936/164,762
  6. Step 6: Final answer
    x = 777,682.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.