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Finding the Third Proportional to 147,730 and 304,170

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Solution

The third proportional to 147,730 and 304,170 is: 626,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,730 : 304,170 = 304,170 : x
  2. Step 2: Convert to fraction form
    147,730/304,170 = 304,170/x
  3. Step 3: Cross multiply
    147,730x = 304,170 × 304,170
  4. Step 4: Simplify right side
    147,730x = 92,519,388,900
  5. Step 5: Solve for x
    x = 92,519,388,900/147,730
  6. Step 6: Final answer
    x = 626,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.