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Finding the Third Proportional to 148,442.63 and 263,670.19

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Solution

The third proportional to 148,442.63 and 263,670.19 is: 468,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,442.63 : 263,670.19 = 263,670.19 : x
  2. Step 2: Convert to fraction form
    148,442.63/263,670.19 = 263,670.19/x
  3. Step 3: Cross multiply
    148,442.63x = 263,670.19 × 263,670.19
  4. Step 4: Simplify right side
    148,442.63x = 69,521,967,776.29
  5. Step 5: Solve for x
    x = 69,521,967,776.29/148,442.63
  6. Step 6: Final answer
    x = 468,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.