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Finding the Third Proportional to 161,869 and 245,061

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Solution

The third proportional to 161,869 and 245,061 is: 371,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869 : 245,061 = 245,061 : x
  2. Step 2: Convert to fraction form
    161,869/245,061 = 245,061/x
  3. Step 3: Cross multiply
    161,869x = 245,061 × 245,061
  4. Step 4: Simplify right side
    161,869x = 60,054,893,721
  5. Step 5: Solve for x
    x = 60,054,893,721/161,869
  6. Step 6: Final answer
    x = 371,009.23

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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.