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Finding the Third Proportional to 176,065.31 and 264,913.88

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Solution

The third proportional to 176,065.31 and 264,913.88 is: 398,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,065.31 : 264,913.88 = 264,913.88 : x
  2. Step 2: Convert to fraction form
    176,065.31/264,913.88 = 264,913.88/x
  3. Step 3: Cross multiply
    176,065.31x = 264,913.88 × 264,913.88
  4. Step 4: Simplify right side
    176,065.31x = 70,179,361,167.52
  5. Step 5: Solve for x
    x = 70,179,361,167.52/176,065.31
  6. Step 6: Final answer
    x = 398,598.45

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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.