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Finding the Third Proportional to 174,842 and 362,128

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Solution

The third proportional to 174,842 and 362,128 is: 750,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,842 : 362,128 = 362,128 : x
  2. Step 2: Convert to fraction form
    174,842/362,128 = 362,128/x
  3. Step 3: Cross multiply
    174,842x = 362,128 × 362,128
  4. Step 4: Simplify right side
    174,842x = 131,136,688,384
  5. Step 5: Solve for x
    x = 131,136,688,384/174,842
  6. Step 6: Final answer
    x = 750,029.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.