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Finding the Third Proportional to 141,546 and 333,669

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Solution

The third proportional to 141,546 and 333,669 is: 786,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,546 : 333,669 = 333,669 : x
  2. Step 2: Convert to fraction form
    141,546/333,669 = 333,669/x
  3. Step 3: Cross multiply
    141,546x = 333,669 × 333,669
  4. Step 4: Simplify right side
    141,546x = 111,335,001,561
  5. Step 5: Solve for x
    x = 111,335,001,561/141,546
  6. Step 6: Final answer
    x = 786,564.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.