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Finding the Third Proportional to 171,688.50 and 371,977.88

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Solution

The third proportional to 171,688.50 and 371,977.88 is: 805,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,688.50 : 371,977.88 = 371,977.88 : x
  2. Step 2: Convert to fraction form
    171,688.50/371,977.88 = 371,977.88/x
  3. Step 3: Cross multiply
    171,688.50x = 371,977.88 × 371,977.88
  4. Step 4: Simplify right side
    171,688.50x = 138,367,539,489.52
  5. Step 5: Solve for x
    x = 138,367,539,489.52/171,688.50
  6. Step 6: Final answer
    x = 805,922.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.