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Finding the Third Proportional to 147,437 and 221,900

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Solution

The third proportional to 147,437 and 221,900 is: 333,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,437 : 221,900 = 221,900 : x
  2. Step 2: Convert to fraction form
    147,437/221,900 = 221,900/x
  3. Step 3: Cross multiply
    147,437x = 221,900 × 221,900
  4. Step 4: Simplify right side
    147,437x = 49,239,610,000
  5. Step 5: Solve for x
    x = 49,239,610,000/147,437
  6. Step 6: Final answer
    x = 333,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.