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Finding the Third Proportional to 157,852 and 346,264

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Solution

The third proportional to 157,852 and 346,264 is: 759,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,852 : 346,264 = 346,264 : x
  2. Step 2: Convert to fraction form
    157,852/346,264 = 346,264/x
  3. Step 3: Cross multiply
    157,852x = 346,264 × 346,264
  4. Step 4: Simplify right side
    157,852x = 119,898,757,696
  5. Step 5: Solve for x
    x = 119,898,757,696/157,852
  6. Step 6: Final answer
    x = 759,564.39

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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.