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Finding the Third Proportional to 233,348 and 352,160

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Solution

The third proportional to 233,348 and 352,160 is: 531,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,348 : 352,160 = 352,160 : x
  2. Step 2: Convert to fraction form
    233,348/352,160 = 352,160/x
  3. Step 3: Cross multiply
    233,348x = 352,160 × 352,160
  4. Step 4: Simplify right side
    233,348x = 124,016,665,600
  5. Step 5: Solve for x
    x = 124,016,665,600/233,348
  6. Step 6: Final answer
    x = 531,466.59

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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.