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Finding the Third Proportional to 147,585 and 221,333

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Solution

The third proportional to 147,585 and 221,333 is: 331,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,585 : 221,333 = 221,333 : x
  2. Step 2: Convert to fraction form
    147,585/221,333 = 221,333/x
  3. Step 3: Cross multiply
    147,585x = 221,333 × 221,333
  4. Step 4: Simplify right side
    147,585x = 48,988,296,889
  5. Step 5: Solve for x
    x = 48,988,296,889/147,585
  6. Step 6: Final answer
    x = 331,932.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.