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Finding the Third Proportional to 161,274 and 256,166.81

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Solution

The third proportional to 161,274 and 256,166.81 is: 406,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,274 : 256,166.81 = 256,166.81 : x
  2. Step 2: Convert to fraction form
    161,274/256,166.81 = 256,166.81/x
  3. Step 3: Cross multiply
    161,274x = 256,166.81 × 256,166.81
  4. Step 4: Simplify right side
    161,274x = 65,621,435,826.41
  5. Step 5: Solve for x
    x = 65,621,435,826.41/161,274
  6. Step 6: Final answer
    x = 406,894.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.