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Finding the Third Proportional to 161,844 and 245,015

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Solution

The third proportional to 161,844 and 245,015 is: 370,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,844 : 245,015 = 245,015 : x
  2. Step 2: Convert to fraction form
    161,844/245,015 = 245,015/x
  3. Step 3: Cross multiply
    161,844x = 245,015 × 245,015
  4. Step 4: Simplify right side
    161,844x = 60,032,350,225
  5. Step 5: Solve for x
    x = 60,032,350,225/161,844
  6. Step 6: Final answer
    x = 370,927.25

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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.