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Finding the Third Proportional to 175,559 and 264,893

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Solution

The third proportional to 175,559 and 264,893 is: 399,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,559 : 264,893 = 264,893 : x
  2. Step 2: Convert to fraction form
    175,559/264,893 = 264,893/x
  3. Step 3: Cross multiply
    175,559x = 264,893 × 264,893
  4. Step 4: Simplify right side
    175,559x = 70,168,301,449
  5. Step 5: Solve for x
    x = 70,168,301,449/175,559
  6. Step 6: Final answer
    x = 399,685.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.