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Finding the Third Proportional to 230,008.13 and 495,008.25

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Solution

The third proportional to 230,008.13 and 495,008.25 is: 1,065,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,008.13 : 495,008.25 = 495,008.25 : x
  2. Step 2: Convert to fraction form
    230,008.13/495,008.25 = 495,008.25/x
  3. Step 3: Cross multiply
    230,008.13x = 495,008.25 × 495,008.25
  4. Step 4: Simplify right side
    230,008.13x = 245,033,167,568.06
  5. Step 5: Solve for x
    x = 245,033,167,568.06/230,008.13
  6. Step 6: Final answer
    x = 1,065,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.