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Finding the Third Proportional to 128,207.81 and 296,811.84

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Solution

The third proportional to 128,207.81 and 296,811.84 is: 687,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,207.81 : 296,811.84 = 296,811.84 : x
  2. Step 2: Convert to fraction form
    128,207.81/296,811.84 = 296,811.84/x
  3. Step 3: Cross multiply
    128,207.81x = 296,811.84 × 296,811.84
  4. Step 4: Simplify right side
    128,207.81x = 88,097,270,590.27
  5. Step 5: Solve for x
    x = 88,097,270,590.27/128,207.81
  6. Step 6: Final answer
    x = 687,144.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.