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Finding the Third Proportional to 141,657 and 306,546

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Solution

The third proportional to 141,657 and 306,546 is: 663,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,657 : 306,546 = 306,546 : x
  2. Step 2: Convert to fraction form
    141,657/306,546 = 306,546/x
  3. Step 3: Cross multiply
    141,657x = 306,546 × 306,546
  4. Step 4: Simplify right side
    141,657x = 93,970,450,116
  5. Step 5: Solve for x
    x = 93,970,450,116/141,657
  6. Step 6: Final answer
    x = 663,366.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.