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Finding the Third Proportional to 160,512 and 245,043

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Solution

The third proportional to 160,512 and 245,043 is: 374,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,512 : 245,043 = 245,043 : x
  2. Step 2: Convert to fraction form
    160,512/245,043 = 245,043/x
  3. Step 3: Cross multiply
    160,512x = 245,043 × 245,043
  4. Step 4: Simplify right side
    160,512x = 60,046,071,849
  5. Step 5: Solve for x
    x = 60,046,071,849/160,512
  6. Step 6: Final answer
    x = 374,090.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.