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Finding the Third Proportional to 171,042.75 and 264,866.63

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Solution

The third proportional to 171,042.75 and 264,866.63 is: 410,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,042.75 : 264,866.63 = 264,866.63 : x
  2. Step 2: Convert to fraction form
    171,042.75/264,866.63 = 264,866.63/x
  3. Step 3: Cross multiply
    171,042.75x = 264,866.63 × 264,866.63
  4. Step 4: Simplify right side
    171,042.75x = 70,154,329,038.89
  5. Step 5: Solve for x
    x = 70,154,329,038.89/171,042.75
  6. Step 6: Final answer
    x = 410,156.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.