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Finding the Third Proportional to 88,644 and 190,280

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Solution

The third proportional to 88,644 and 190,280 is: 408,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644 : 190,280 = 190,280 : x
  2. Step 2: Convert to fraction form
    88,644/190,280 = 190,280/x
  3. Step 3: Cross multiply
    88,644x = 190,280 × 190,280
  4. Step 4: Simplify right side
    88,644x = 36,206,478,400
  5. Step 5: Solve for x
    x = 36,206,478,400/88,644
  6. Step 6: Final answer
    x = 408,448.16

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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.