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Finding the Third Proportional to 157,543 and 345,701

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Solution

The third proportional to 157,543 and 345,701 is: 758,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543 : 345,701 = 345,701 : x
  2. Step 2: Convert to fraction form
    157,543/345,701 = 345,701/x
  3. Step 3: Cross multiply
    157,543x = 345,701 × 345,701
  4. Step 4: Simplify right side
    157,543x = 119,509,181,401
  5. Step 5: Solve for x
    x = 119,509,181,401/157,543
  6. Step 6: Final answer
    x = 758,581.35

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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.