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Finding the Third Proportional to 229,673 and 335,437

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Solution

The third proportional to 229,673 and 335,437 is: 489,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,673 : 335,437 = 335,437 : x
  2. Step 2: Convert to fraction form
    229,673/335,437 = 335,437/x
  3. Step 3: Cross multiply
    229,673x = 335,437 × 335,437
  4. Step 4: Simplify right side
    229,673x = 112,517,980,969
  5. Step 5: Solve for x
    x = 112,517,980,969/229,673
  6. Step 6: Final answer
    x = 489,905.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.