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Finding the Third Proportional to 175,572 and 264,886

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Solution

The third proportional to 175,572 and 264,886 is: 399,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,572 : 264,886 = 264,886 : x
  2. Step 2: Convert to fraction form
    175,572/264,886 = 264,886/x
  3. Step 3: Cross multiply
    175,572x = 264,886 × 264,886
  4. Step 4: Simplify right side
    175,572x = 70,164,592,996
  5. Step 5: Solve for x
    x = 70,164,592,996/175,572
  6. Step 6: Final answer
    x = 399,634.30

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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.