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Finding the Third Proportional to 162,912.38 and 241,830.56

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Solution

The third proportional to 162,912.38 and 241,830.56 is: 358,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912.38 : 241,830.56 = 241,830.56 : x
  2. Step 2: Convert to fraction form
    162,912.38/241,830.56 = 241,830.56/x
  3. Step 3: Cross multiply
    162,912.38x = 241,830.56 × 241,830.56
  4. Step 4: Simplify right side
    162,912.38x = 58,482,020,959.07
  5. Step 5: Solve for x
    x = 58,482,020,959.07/162,912.38
  6. Step 6: Final answer
    x = 358,978.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.