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Finding the Third Proportional to 164,758 and 357,948

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Solution

The third proportional to 164,758 and 357,948 is: 777,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,758 : 357,948 = 357,948 : x
  2. Step 2: Convert to fraction form
    164,758/357,948 = 357,948/x
  3. Step 3: Cross multiply
    164,758x = 357,948 × 357,948
  4. Step 4: Simplify right side
    164,758x = 128,126,770,704
  5. Step 5: Solve for x
    x = 128,126,770,704/164,758
  6. Step 6: Final answer
    x = 777,666.46

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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.