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Finding the Third Proportional to 152,602.75 and 331,476

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Solution

The third proportional to 152,602.75 and 331,476 is: 720,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,602.75 : 331,476 = 331,476 : x
  2. Step 2: Convert to fraction form
    152,602.75/331,476 = 331,476/x
  3. Step 3: Cross multiply
    152,602.75x = 331,476 × 331,476
  4. Step 4: Simplify right side
    152,602.75x = 109,876,338,576
  5. Step 5: Solve for x
    x = 109,876,338,576/152,602.75
  6. Step 6: Final answer
    x = 720,015.46

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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.