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Finding the Third Proportional to 164,049.50 and 234,590.50

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Solution

The third proportional to 164,049.50 and 234,590.50 is: 335,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049.50 : 234,590.50 = 234,590.50 : x
  2. Step 2: Convert to fraction form
    164,049.50/234,590.50 = 234,590.50/x
  3. Step 3: Cross multiply
    164,049.50x = 234,590.50 × 234,590.50
  4. Step 4: Simplify right side
    164,049.50x = 55,032,702,690.25
  5. Step 5: Solve for x
    x = 55,032,702,690.25/164,049.50
  6. Step 6: Final answer
    x = 335,464.01

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