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Finding the Third Proportional to 174,403.13 and 356,207.63

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Solution

The third proportional to 174,403.13 and 356,207.63 is: 727,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,403.13 : 356,207.63 = 356,207.63 : x
  2. Step 2: Convert to fraction form
    174,403.13/356,207.63 = 356,207.63/x
  3. Step 3: Cross multiply
    174,403.13x = 356,207.63 × 356,207.63
  4. Step 4: Simplify right side
    174,403.13x = 126,883,872,108.14
  5. Step 5: Solve for x
    x = 126,883,872,108.14/174,403.13
  6. Step 6: Final answer
    x = 727,532.10

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.