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Finding the Third Proportional to 155,834 and 341,332

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Solution

The third proportional to 155,834 and 341,332 is: 747,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,834 : 341,332 = 341,332 : x
  2. Step 2: Convert to fraction form
    155,834/341,332 = 341,332/x
  3. Step 3: Cross multiply
    155,834x = 341,332 × 341,332
  4. Step 4: Simplify right side
    155,834x = 116,507,534,224
  5. Step 5: Solve for x
    x = 116,507,534,224/155,834
  6. Step 6: Final answer
    x = 747,638.73

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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.