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Finding the Third Proportional to 235,925 and 375,260

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Solution

The third proportional to 235,925 and 375,260 is: 596,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,925 : 375,260 = 375,260 : x
  2. Step 2: Convert to fraction form
    235,925/375,260 = 375,260/x
  3. Step 3: Cross multiply
    235,925x = 375,260 × 375,260
  4. Step 4: Simplify right side
    235,925x = 140,820,067,600
  5. Step 5: Solve for x
    x = 140,820,067,600/235,925
  6. Step 6: Final answer
    x = 596,884.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.