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Finding the Third Proportional to 153,221.63 and 356,055.75

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Solution

The third proportional to 153,221.63 and 356,055.75 is: 827,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,221.63 : 356,055.75 = 356,055.75 : x
  2. Step 2: Convert to fraction form
    153,221.63/356,055.75 = 356,055.75/x
  3. Step 3: Cross multiply
    153,221.63x = 356,055.75 × 356,055.75
  4. Step 4: Simplify right side
    153,221.63x = 126,775,697,108.06
  5. Step 5: Solve for x
    x = 126,775,697,108.06/153,221.63
  6. Step 6: Final answer
    x = 827,400.81

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.