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Finding the Third Proportional to 155,237 and 339,532

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Solution

The third proportional to 155,237 and 339,532 is: 742,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,237 : 339,532 = 339,532 : x
  2. Step 2: Convert to fraction form
    155,237/339,532 = 339,532/x
  3. Step 3: Cross multiply
    155,237x = 339,532 × 339,532
  4. Step 4: Simplify right side
    155,237x = 115,281,979,024
  5. Step 5: Solve for x
    x = 115,281,979,024/155,237
  6. Step 6: Final answer
    x = 742,619.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.