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Finding the Third Proportional to 140,149 and 329,020

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Solution

The third proportional to 140,149 and 329,020 is: 772,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,149 : 329,020 = 329,020 : x
  2. Step 2: Convert to fraction form
    140,149/329,020 = 329,020/x
  3. Step 3: Cross multiply
    140,149x = 329,020 × 329,020
  4. Step 4: Simplify right side
    140,149x = 108,254,160,400
  5. Step 5: Solve for x
    x = 108,254,160,400/140,149
  6. Step 6: Final answer
    x = 772,421.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.