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Finding the Third Proportional to 155,951 and 317,553.50

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Solution

The third proportional to 155,951 and 317,553.50 is: 646,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,951 : 317,553.50 = 317,553.50 : x
  2. Step 2: Convert to fraction form
    155,951/317,553.50 = 317,553.50/x
  3. Step 3: Cross multiply
    155,951x = 317,553.50 × 317,553.50
  4. Step 4: Simplify right side
    155,951x = 100,840,225,362.25
  5. Step 5: Solve for x
    x = 100,840,225,362.25/155,951
  6. Step 6: Final answer
    x = 646,614.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.