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Finding the Third Proportional to 157,584 and 345,786

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Solution

The third proportional to 157,584 and 345,786 is: 758,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584 : 345,786 = 345,786 : x
  2. Step 2: Convert to fraction form
    157,584/345,786 = 345,786/x
  3. Step 3: Cross multiply
    157,584x = 345,786 × 345,786
  4. Step 4: Simplify right side
    157,584x = 119,567,957,796
  5. Step 5: Solve for x
    x = 119,567,957,796/157,584
  6. Step 6: Final answer
    x = 758,756.97

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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.