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Finding the Third Proportional to 157,712 and 340,696

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Solution

The third proportional to 157,712 and 340,696 is: 735,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,712 : 340,696 = 340,696 : x
  2. Step 2: Convert to fraction form
    157,712/340,696 = 340,696/x
  3. Step 3: Cross multiply
    157,712x = 340,696 × 340,696
  4. Step 4: Simplify right side
    157,712x = 116,073,764,416
  5. Step 5: Solve for x
    x = 116,073,764,416/157,712
  6. Step 6: Final answer
    x = 735,985.62

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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.