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Finding the Third Proportional to 160,938 and 243,481.50

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Solution

The third proportional to 160,938 and 243,481.50 is: 368,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,938 : 243,481.50 = 243,481.50 : x
  2. Step 2: Convert to fraction form
    160,938/243,481.50 = 243,481.50/x
  3. Step 3: Cross multiply
    160,938x = 243,481.50 × 243,481.50
  4. Step 4: Simplify right side
    160,938x = 59,283,240,842.25
  5. Step 5: Solve for x
    x = 59,283,240,842.25/160,938
  6. Step 6: Final answer
    x = 368,360.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.