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Finding the Third Proportional to 155,596 and 339,354

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Solution

The third proportional to 155,596 and 339,354 is: 740,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,596 : 339,354 = 339,354 : x
  2. Step 2: Convert to fraction form
    155,596/339,354 = 339,354/x
  3. Step 3: Cross multiply
    155,596x = 339,354 × 339,354
  4. Step 4: Simplify right side
    155,596x = 115,161,137,316
  5. Step 5: Solve for x
    x = 115,161,137,316/155,596
  6. Step 6: Final answer
    x = 740,129.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.