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Finding the Third Proportional to 150,924 and 328,056

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Solution

The third proportional to 150,924 and 328,056 is: 713,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,924 : 328,056 = 328,056 : x
  2. Step 2: Convert to fraction form
    150,924/328,056 = 328,056/x
  3. Step 3: Cross multiply
    150,924x = 328,056 × 328,056
  4. Step 4: Simplify right side
    150,924x = 107,620,739,136
  5. Step 5: Solve for x
    x = 107,620,739,136/150,924
  6. Step 6: Final answer
    x = 713,079.03

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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.