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Finding the Third Proportional to 151,546 and 224,382

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Solution

The third proportional to 151,546 and 224,382 is: 332,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,546 : 224,382 = 224,382 : x
  2. Step 2: Convert to fraction form
    151,546/224,382 = 224,382/x
  3. Step 3: Cross multiply
    151,546x = 224,382 × 224,382
  4. Step 4: Simplify right side
    151,546x = 50,347,281,924
  5. Step 5: Solve for x
    x = 50,347,281,924/151,546
  6. Step 6: Final answer
    x = 332,224.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.