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Finding the Third Proportional to 161,573.50 and 330,983

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Solution

The third proportional to 161,573.50 and 330,983 is: 678,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,573.50 : 330,983 = 330,983 : x
  2. Step 2: Convert to fraction form
    161,573.50/330,983 = 330,983/x
  3. Step 3: Cross multiply
    161,573.50x = 330,983 × 330,983
  4. Step 4: Simplify right side
    161,573.50x = 109,549,746,289
  5. Step 5: Solve for x
    x = 109,549,746,289/161,573.50
  6. Step 6: Final answer
    x = 678,018.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.