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Finding the Third Proportional to 88,210 and 190,240

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Solution

The third proportional to 88,210 and 190,240 is: 410,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,210 : 190,240 = 190,240 : x
  2. Step 2: Convert to fraction form
    88,210/190,240 = 190,240/x
  3. Step 3: Cross multiply
    88,210x = 190,240 × 190,240
  4. Step 4: Simplify right side
    88,210x = 36,191,257,600
  5. Step 5: Solve for x
    x = 36,191,257,600/88,210
  6. Step 6: Final answer
    x = 410,285.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.