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Finding the Third Proportional to 147,426 and 221,289

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Solution

The third proportional to 147,426 and 221,289 is: 332,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,426 : 221,289 = 221,289 : x
  2. Step 2: Convert to fraction form
    147,426/221,289 = 221,289/x
  3. Step 3: Cross multiply
    147,426x = 221,289 × 221,289
  4. Step 4: Simplify right side
    147,426x = 48,968,821,521
  5. Step 5: Solve for x
    x = 48,968,821,521/147,426
  6. Step 6: Final answer
    x = 332,158.65

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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.