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Finding the Third Proportional to 88,810.50 and 190,257

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Solution

The third proportional to 88,810.50 and 190,257 is: 407,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,810.50 : 190,257 = 190,257 : x
  2. Step 2: Convert to fraction form
    88,810.50/190,257 = 190,257/x
  3. Step 3: Cross multiply
    88,810.50x = 190,257 × 190,257
  4. Step 4: Simplify right side
    88,810.50x = 36,197,726,049
  5. Step 5: Solve for x
    x = 36,197,726,049/88,810.50
  6. Step 6: Final answer
    x = 407,583.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.