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Finding the Third Proportional to 235,596 and 375,243

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Solution

The third proportional to 235,596 and 375,243 is: 597,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,596 : 375,243 = 375,243 : x
  2. Step 2: Convert to fraction form
    235,596/375,243 = 375,243/x
  3. Step 3: Cross multiply
    235,596x = 375,243 × 375,243
  4. Step 4: Simplify right side
    235,596x = 140,807,309,049
  5. Step 5: Solve for x
    x = 140,807,309,049/235,596
  6. Step 6: Final answer
    x = 597,664.26

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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.