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Finding the Third Proportional to 230,015 and 352,433

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Solution

The third proportional to 230,015 and 352,433 is: 540,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,015 : 352,433 = 352,433 : x
  2. Step 2: Convert to fraction form
    230,015/352,433 = 352,433/x
  3. Step 3: Cross multiply
    230,015x = 352,433 × 352,433
  4. Step 4: Simplify right side
    230,015x = 124,209,019,489
  5. Step 5: Solve for x
    x = 124,209,019,489/230,015
  6. Step 6: Final answer
    x = 540,004.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.