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Finding the Third Proportional to 152,354 and 356,045

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Solution

The third proportional to 152,354 and 356,045 is: 832,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,354 : 356,045 = 356,045 : x
  2. Step 2: Convert to fraction form
    152,354/356,045 = 356,045/x
  3. Step 3: Cross multiply
    152,354x = 356,045 × 356,045
  4. Step 4: Simplify right side
    152,354x = 126,768,042,025
  5. Step 5: Solve for x
    x = 126,768,042,025/152,354
  6. Step 6: Final answer
    x = 832,062.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.