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Finding the Third Proportional to 150,916.50 and 311,553

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Solution

The third proportional to 150,916.50 and 311,553 is: 643,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916.50 : 311,553 = 311,553 : x
  2. Step 2: Convert to fraction form
    150,916.50/311,553 = 311,553/x
  3. Step 3: Cross multiply
    150,916.50x = 311,553 × 311,553
  4. Step 4: Simplify right side
    150,916.50x = 97,065,271,809
  5. Step 5: Solve for x
    x = 97,065,271,809/150,916.50
  6. Step 6: Final answer
    x = 643,172.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.