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Finding the Third Proportional to 157,588 and 345,773

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Solution

The third proportional to 157,588 and 345,773 is: 758,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 345,773 = 345,773 : x
  2. Step 2: Convert to fraction form
    157,588/345,773 = 345,773/x
  3. Step 3: Cross multiply
    157,588x = 345,773 × 345,773
  4. Step 4: Simplify right side
    157,588x = 119,558,967,529
  5. Step 5: Solve for x
    x = 119,558,967,529/157,588
  6. Step 6: Final answer
    x = 758,680.66

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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.