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Finding the Third Proportional to 88,315 and 190,715

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Solution

The third proportional to 88,315 and 190,715 is: 411,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,315 : 190,715 = 190,715 : x
  2. Step 2: Convert to fraction form
    88,315/190,715 = 190,715/x
  3. Step 3: Cross multiply
    88,315x = 190,715 × 190,715
  4. Step 4: Simplify right side
    88,315x = 36,372,211,225
  5. Step 5: Solve for x
    x = 36,372,211,225/88,315
  6. Step 6: Final answer
    x = 411,846.36

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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.