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Finding the Third Proportional to 175,534 and 385,390

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Solution

The third proportional to 175,534 and 385,390 is: 846,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,534 : 385,390 = 385,390 : x
  2. Step 2: Convert to fraction form
    175,534/385,390 = 385,390/x
  3. Step 3: Cross multiply
    175,534x = 385,390 × 385,390
  4. Step 4: Simplify right side
    175,534x = 148,525,452,100
  5. Step 5: Solve for x
    x = 148,525,452,100/175,534
  6. Step 6: Final answer
    x = 846,134.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.