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Finding the Third Proportional to 233,882 and 352,928

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Solution

The third proportional to 233,882 and 352,928 is: 532,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,882 : 352,928 = 352,928 : x
  2. Step 2: Convert to fraction form
    233,882/352,928 = 352,928/x
  3. Step 3: Cross multiply
    233,882x = 352,928 × 352,928
  4. Step 4: Simplify right side
    233,882x = 124,558,173,184
  5. Step 5: Solve for x
    x = 124,558,173,184/233,882
  6. Step 6: Final answer
    x = 532,568.45

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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.