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Finding the Third Proportional to 235,929 and 375,267

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Solution

The third proportional to 235,929 and 375,267 is: 596,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,929 : 375,267 = 375,267 : x
  2. Step 2: Convert to fraction form
    235,929/375,267 = 375,267/x
  3. Step 3: Cross multiply
    235,929x = 375,267 × 375,267
  4. Step 4: Simplify right side
    235,929x = 140,825,321,289
  5. Step 5: Solve for x
    x = 140,825,321,289/235,929
  6. Step 6: Final answer
    x = 596,897.04

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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.