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Finding the Third Proportional to 164,043.56 and 234,582.75

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Solution

The third proportional to 164,043.56 and 234,582.75 is: 335,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.56 : 234,582.75 = 234,582.75 : x
  2. Step 2: Convert to fraction form
    164,043.56/234,582.75 = 234,582.75/x
  3. Step 3: Cross multiply
    164,043.56x = 234,582.75 × 234,582.75
  4. Step 4: Simplify right side
    164,043.56x = 55,029,066,597.56
  5. Step 5: Solve for x
    x = 55,029,066,597.56/164,043.56
  6. Step 6: Final answer
    x = 335,453.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.