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Finding the Third Proportional to 141,756.75 and 228,403.13

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Solution

The third proportional to 141,756.75 and 228,403.13 is: 368,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,756.75 : 228,403.13 = 228,403.13 : x
  2. Step 2: Convert to fraction form
    141,756.75/228,403.13 = 228,403.13/x
  3. Step 3: Cross multiply
    141,756.75x = 228,403.13 × 228,403.13
  4. Step 4: Simplify right side
    141,756.75x = 52,167,987,509.77
  5. Step 5: Solve for x
    x = 52,167,987,509.77/141,756.75
  6. Step 6: Final answer
    x = 368,010.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.