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Finding the Third Proportional to 140,356.13 and 228,052.69

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Solution

The third proportional to 140,356.13 and 228,052.69 is: 370,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,356.13 : 228,052.69 = 228,052.69 : x
  2. Step 2: Convert to fraction form
    140,356.13/228,052.69 = 228,052.69/x
  3. Step 3: Cross multiply
    140,356.13x = 228,052.69 × 228,052.69
  4. Step 4: Simplify right side
    140,356.13x = 52,008,028,275.97
  5. Step 5: Solve for x
    x = 52,008,028,275.97/140,356.13
  6. Step 6: Final answer
    x = 370,543.35

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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.