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Finding the Third Proportional to 155,782 and 337,808

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Solution

The third proportional to 155,782 and 337,808 is: 732,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,782 : 337,808 = 337,808 : x
  2. Step 2: Convert to fraction form
    155,782/337,808 = 337,808/x
  3. Step 3: Cross multiply
    155,782x = 337,808 × 337,808
  4. Step 4: Simplify right side
    155,782x = 114,114,244,864
  5. Step 5: Solve for x
    x = 114,114,244,864/155,782
  6. Step 6: Final answer
    x = 732,525.23

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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.