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Finding the Third Proportional to 171,955.13 and 278,572.50

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Solution

The third proportional to 171,955.13 and 278,572.50 is: 451,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,955.13 : 278,572.50 = 278,572.50 : x
  2. Step 2: Convert to fraction form
    171,955.13/278,572.50 = 278,572.50/x
  3. Step 3: Cross multiply
    171,955.13x = 278,572.50 × 278,572.50
  4. Step 4: Simplify right side
    171,955.13x = 77,602,637,756.25
  5. Step 5: Solve for x
    x = 77,602,637,756.25/171,955.13
  6. Step 6: Final answer
    x = 451,295.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.