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Finding the Third Proportional to 164,463 and 354,303.75

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Solution

The third proportional to 164,463 and 354,303.75 is: 763,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,463 : 354,303.75 = 354,303.75 : x
  2. Step 2: Convert to fraction form
    164,463/354,303.75 = 354,303.75/x
  3. Step 3: Cross multiply
    164,463x = 354,303.75 × 354,303.75
  4. Step 4: Simplify right side
    164,463x = 125,531,147,264.06
  5. Step 5: Solve for x
    x = 125,531,147,264.06/164,463
  6. Step 6: Final answer
    x = 763,278.96

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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.