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Finding the Third Proportional to 191,409.75 and 412,070.25

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Solution

The third proportional to 191,409.75 and 412,070.25 is: 887,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,409.75 : 412,070.25 = 412,070.25 : x
  2. Step 2: Convert to fraction form
    191,409.75/412,070.25 = 412,070.25/x
  3. Step 3: Cross multiply
    191,409.75x = 412,070.25 × 412,070.25
  4. Step 4: Simplify right side
    191,409.75x = 169,801,890,935.06
  5. Step 5: Solve for x
    x = 169,801,890,935.06/191,409.75
  6. Step 6: Final answer
    x = 887,112.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.