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Finding the Third Proportional to 172,390 and 365,304

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Solution

The third proportional to 172,390 and 365,304 is: 774,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,390 : 365,304 = 365,304 : x
  2. Step 2: Convert to fraction form
    172,390/365,304 = 365,304/x
  3. Step 3: Cross multiply
    172,390x = 365,304 × 365,304
  4. Step 4: Simplify right side
    172,390x = 133,447,012,416
  5. Step 5: Solve for x
    x = 133,447,012,416/172,390
  6. Step 6: Final answer
    x = 774,099.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.