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Finding the Third Proportional to 340,100.25 and 508,373.25

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Solution

The third proportional to 340,100.25 and 508,373.25 is: 759,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,100.25 : 508,373.25 = 508,373.25 : x
  2. Step 2: Convert to fraction form
    340,100.25/508,373.25 = 508,373.25/x
  3. Step 3: Cross multiply
    340,100.25x = 508,373.25 × 508,373.25
  4. Step 4: Simplify right side
    340,100.25x = 258,443,361,315.56
  5. Step 5: Solve for x
    x = 258,443,361,315.56/340,100.25
  6. Step 6: Final answer
    x = 759,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.