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Finding the Third Proportional to 173,157.75 and 259,048.13

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Solution

The third proportional to 173,157.75 and 259,048.13 is: 387,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,157.75 : 259,048.13 = 259,048.13 : x
  2. Step 2: Convert to fraction form
    173,157.75/259,048.13 = 259,048.13/x
  3. Step 3: Cross multiply
    173,157.75x = 259,048.13 × 259,048.13
  4. Step 4: Simplify right side
    173,157.75x = 67,105,931,066.02
  5. Step 5: Solve for x
    x = 67,105,931,066.02/173,157.75
  6. Step 6: Final answer
    x = 387,542.18

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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.