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Finding the Third Proportional to 151,841 and 332,284

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Solution

The third proportional to 151,841 and 332,284 is: 727,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,841 : 332,284 = 332,284 : x
  2. Step 2: Convert to fraction form
    151,841/332,284 = 332,284/x
  3. Step 3: Cross multiply
    151,841x = 332,284 × 332,284
  4. Step 4: Simplify right side
    151,841x = 110,412,656,656
  5. Step 5: Solve for x
    x = 110,412,656,656/151,841
  6. Step 6: Final answer
    x = 727,159.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.