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Finding the Third Proportional to 153,010 and 331,444

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Solution

The third proportional to 153,010 and 331,444 is: 717,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010 : 331,444 = 331,444 : x
  2. Step 2: Convert to fraction form
    153,010/331,444 = 331,444/x
  3. Step 3: Cross multiply
    153,010x = 331,444 × 331,444
  4. Step 4: Simplify right side
    153,010x = 109,855,125,136
  5. Step 5: Solve for x
    x = 109,855,125,136/153,010
  6. Step 6: Final answer
    x = 717,960.43

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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.