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Finding the Third Proportional to 158,457 and 345,346

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Solution

The third proportional to 158,457 and 345,346 is: 752,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,457 : 345,346 = 345,346 : x
  2. Step 2: Convert to fraction form
    158,457/345,346 = 345,346/x
  3. Step 3: Cross multiply
    158,457x = 345,346 × 345,346
  4. Step 4: Simplify right side
    158,457x = 119,263,859,716
  5. Step 5: Solve for x
    x = 119,263,859,716/158,457
  6. Step 6: Final answer
    x = 752,657.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.