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Finding the Third Proportional to 158,575.50 and 330,273

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Solution

The third proportional to 158,575.50 and 330,273 is: 687,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,575.50 : 330,273 = 330,273 : x
  2. Step 2: Convert to fraction form
    158,575.50/330,273 = 330,273/x
  3. Step 3: Cross multiply
    158,575.50x = 330,273 × 330,273
  4. Step 4: Simplify right side
    158,575.50x = 109,080,254,529
  5. Step 5: Solve for x
    x = 109,080,254,529/158,575.50
  6. Step 6: Final answer
    x = 687,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.