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Finding the Third Proportional to 146,984 and 319,024

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Solution

The third proportional to 146,984 and 319,024 is: 692,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,984 : 319,024 = 319,024 : x
  2. Step 2: Convert to fraction form
    146,984/319,024 = 319,024/x
  3. Step 3: Cross multiply
    146,984x = 319,024 × 319,024
  4. Step 4: Simplify right side
    146,984x = 101,776,312,576
  5. Step 5: Solve for x
    x = 101,776,312,576/146,984
  6. Step 6: Final answer
    x = 692,431.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.