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Finding the Third Proportional to 176,301 and 264,836.25

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Solution

The third proportional to 176,301 and 264,836.25 is: 397,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,301 : 264,836.25 = 264,836.25 : x
  2. Step 2: Convert to fraction form
    176,301/264,836.25 = 264,836.25/x
  3. Step 3: Cross multiply
    176,301x = 264,836.25 × 264,836.25
  4. Step 4: Simplify right side
    176,301x = 70,138,239,314.06
  5. Step 5: Solve for x
    x = 70,138,239,314.06/176,301
  6. Step 6: Final answer
    x = 397,832.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.