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Finding the Third Proportional to 175,584 and 264,904

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Solution

The third proportional to 175,584 and 264,904 is: 399,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,584 : 264,904 = 264,904 : x
  2. Step 2: Convert to fraction form
    175,584/264,904 = 264,904/x
  3. Step 3: Cross multiply
    175,584x = 264,904 × 264,904
  4. Step 4: Simplify right side
    175,584x = 70,174,129,216
  5. Step 5: Solve for x
    x = 70,174,129,216/175,584
  6. Step 6: Final answer
    x = 399,661.30

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