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Finding the Third Proportional to 147,000 and 322,024

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Solution

The third proportional to 147,000 and 322,024 is: 705,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 322,024 = 322,024 : x
  2. Step 2: Convert to fraction form
    147,000/322,024 = 322,024/x
  3. Step 3: Cross multiply
    147,000x = 322,024 × 322,024
  4. Step 4: Simplify right side
    147,000x = 103,699,456,576
  5. Step 5: Solve for x
    x = 103,699,456,576/147,000
  6. Step 6: Final answer
    x = 705,438.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.