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Finding the Third Proportional to 157,772 and 346,144

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Solution

The third proportional to 157,772 and 346,144 is: 759,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,772 : 346,144 = 346,144 : x
  2. Step 2: Convert to fraction form
    157,772/346,144 = 346,144/x
  3. Step 3: Cross multiply
    157,772x = 346,144 × 346,144
  4. Step 4: Simplify right side
    157,772x = 119,815,668,736
  5. Step 5: Solve for x
    x = 119,815,668,736/157,772
  6. Step 6: Final answer
    x = 759,422.89

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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.