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Finding the Third Proportional to 229,040 and 356,649

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Solution

The third proportional to 229,040 and 356,649 is: 555,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,040 : 356,649 = 356,649 : x
  2. Step 2: Convert to fraction form
    229,040/356,649 = 356,649/x
  3. Step 3: Cross multiply
    229,040x = 356,649 × 356,649
  4. Step 4: Simplify right side
    229,040x = 127,198,509,201
  5. Step 5: Solve for x
    x = 127,198,509,201/229,040
  6. Step 6: Final answer
    x = 555,355.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.