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Finding the Third Proportional to 174,798 and 381,346

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Solution

The third proportional to 174,798 and 381,346 is: 831,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,798 : 381,346 = 381,346 : x
  2. Step 2: Convert to fraction form
    174,798/381,346 = 381,346/x
  3. Step 3: Cross multiply
    174,798x = 381,346 × 381,346
  4. Step 4: Simplify right side
    174,798x = 145,424,771,716
  5. Step 5: Solve for x
    x = 145,424,771,716/174,798
  6. Step 6: Final answer
    x = 831,959.01

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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.