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Finding the Third Proportional to 235,173.38 and 354,963.52

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Solution

The third proportional to 235,173.38 and 354,963.52 is: 535,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,173.38 : 354,963.52 = 354,963.52 : x
  2. Step 2: Convert to fraction form
    235,173.38/354,963.52 = 354,963.52/x
  3. Step 3: Cross multiply
    235,173.38x = 354,963.52 × 354,963.52
  4. Step 4: Simplify right side
    235,173.38x = 125,999,097,424.86
  5. Step 5: Solve for x
    x = 125,999,097,424.86/235,173.38
  6. Step 6: Final answer
    x = 535,771.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.