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Finding the Third Proportional to 235,872 and 352,944

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Solution

The third proportional to 235,872 and 352,944 is: 528,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,872 : 352,944 = 352,944 : x
  2. Step 2: Convert to fraction form
    235,872/352,944 = 352,944/x
  3. Step 3: Cross multiply
    235,872x = 352,944 × 352,944
  4. Step 4: Simplify right side
    235,872x = 124,569,467,136
  5. Step 5: Solve for x
    x = 124,569,467,136/235,872
  6. Step 6: Final answer
    x = 528,123.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.