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Finding the Third Proportional to 155,827 and 341,315

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Solution

The third proportional to 155,827 and 341,315 is: 747,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,827 : 341,315 = 341,315 : x
  2. Step 2: Convert to fraction form
    155,827/341,315 = 341,315/x
  3. Step 3: Cross multiply
    155,827x = 341,315 × 341,315
  4. Step 4: Simplify right side
    155,827x = 116,495,929,225
  5. Step 5: Solve for x
    x = 116,495,929,225/155,827
  6. Step 6: Final answer
    x = 747,597.84

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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.