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Finding the Third Proportional to 157,546 and 345,706

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Solution

The third proportional to 157,546 and 345,706 is: 758,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,546 : 345,706 = 345,706 : x
  2. Step 2: Convert to fraction form
    157,546/345,706 = 345,706/x
  3. Step 3: Cross multiply
    157,546x = 345,706 × 345,706
  4. Step 4: Simplify right side
    157,546x = 119,512,638,436
  5. Step 5: Solve for x
    x = 119,512,638,436/157,546
  6. Step 6: Final answer
    x = 758,588.85

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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.