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Finding the Third Proportional to 157,656 and 341,544

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Solution

The third proportional to 157,656 and 341,544 is: 739,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,656 : 341,544 = 341,544 : x
  2. Step 2: Convert to fraction form
    157,656/341,544 = 341,544/x
  3. Step 3: Cross multiply
    157,656x = 341,544 × 341,544
  4. Step 4: Simplify right side
    157,656x = 116,652,303,936
  5. Step 5: Solve for x
    x = 116,652,303,936/157,656
  6. Step 6: Final answer
    x = 739,916.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.