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Finding the Third Proportional to 157,834 and 346,772

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Solution

The third proportional to 157,834 and 346,772 is: 761,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,834 : 346,772 = 346,772 : x
  2. Step 2: Convert to fraction form
    157,834/346,772 = 346,772/x
  3. Step 3: Cross multiply
    157,834x = 346,772 × 346,772
  4. Step 4: Simplify right side
    157,834x = 120,250,819,984
  5. Step 5: Solve for x
    x = 120,250,819,984/157,834
  6. Step 6: Final answer
    x = 761,881.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.