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Finding the Third Proportional to 178,704 and 357,390

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Solution

The third proportional to 178,704 and 357,390 is: 714,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,704 : 357,390 = 357,390 : x
  2. Step 2: Convert to fraction form
    178,704/357,390 = 357,390/x
  3. Step 3: Cross multiply
    178,704x = 357,390 × 357,390
  4. Step 4: Simplify right side
    178,704x = 127,727,612,100
  5. Step 5: Solve for x
    x = 127,727,612,100/178,704
  6. Step 6: Final answer
    x = 714,744.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.