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Finding the Third Proportional to 343,147.50 and 495,032.25

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Solution

The third proportional to 343,147.50 and 495,032.25 is: 714,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,147.50 : 495,032.25 = 495,032.25 : x
  2. Step 2: Convert to fraction form
    343,147.50/495,032.25 = 495,032.25/x
  3. Step 3: Cross multiply
    343,147.50x = 495,032.25 × 495,032.25
  4. Step 4: Simplify right side
    343,147.50x = 245,056,928,540.06
  5. Step 5: Solve for x
    x = 245,056,928,540.06/343,147.50
  6. Step 6: Final answer
    x = 714,144.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.