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Finding the Third Proportional to 164,670.75 and 342,261

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Solution

The third proportional to 164,670.75 and 342,261 is: 711,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,670.75 : 342,261 = 342,261 : x
  2. Step 2: Convert to fraction form
    164,670.75/342,261 = 342,261/x
  3. Step 3: Cross multiply
    164,670.75x = 342,261 × 342,261
  4. Step 4: Simplify right side
    164,670.75x = 117,142,592,121
  5. Step 5: Solve for x
    x = 117,142,592,121/164,670.75
  6. Step 6: Final answer
    x = 711,374.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.