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Finding the Third Proportional to 155,938 and 341,709

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Solution

The third proportional to 155,938 and 341,709 is: 748,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,938 : 341,709 = 341,709 : x
  2. Step 2: Convert to fraction form
    155,938/341,709 = 341,709/x
  3. Step 3: Cross multiply
    155,938x = 341,709 × 341,709
  4. Step 4: Simplify right side
    155,938x = 116,765,040,681
  5. Step 5: Solve for x
    x = 116,765,040,681/155,938
  6. Step 6: Final answer
    x = 748,791.45

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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.