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Finding the Third Proportional to 171,041.63 and 264,864.94

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Solution

The third proportional to 171,041.63 and 264,864.94 is: 410,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,041.63 : 264,864.94 = 264,864.94 : x
  2. Step 2: Convert to fraction form
    171,041.63/264,864.94 = 264,864.94/x
  3. Step 3: Cross multiply
    171,041.63x = 264,864.94 × 264,864.94
  4. Step 4: Simplify right side
    171,041.63x = 70,153,435,116.88
  5. Step 5: Solve for x
    x = 70,153,435,116.88/171,041.63
  6. Step 6: Final answer
    x = 410,154.17

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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.