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Finding the Third Proportional to 176,038.31 and 264,899.53

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Solution

The third proportional to 176,038.31 and 264,899.53 is: 398,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,038.31 : 264,899.53 = 264,899.53 : x
  2. Step 2: Convert to fraction form
    176,038.31/264,899.53 = 264,899.53/x
  3. Step 3: Cross multiply
    176,038.31x = 264,899.53 × 264,899.53
  4. Step 4: Simplify right side
    176,038.31x = 70,171,761,656.47
  5. Step 5: Solve for x
    x = 70,171,761,656.47/176,038.31
  6. Step 6: Final answer
    x = 398,616.42

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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.