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Finding the Third Proportional to 172,571 and 353,506

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Solution

The third proportional to 172,571 and 353,506 is: 724,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,571 : 353,506 = 353,506 : x
  2. Step 2: Convert to fraction form
    172,571/353,506 = 353,506/x
  3. Step 3: Cross multiply
    172,571x = 353,506 × 353,506
  4. Step 4: Simplify right side
    172,571x = 124,966,492,036
  5. Step 5: Solve for x
    x = 124,966,492,036/172,571
  6. Step 6: Final answer
    x = 724,145.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.