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Finding the Third Proportional to 140,332 and 300,588

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Solution

The third proportional to 140,332 and 300,588 is: 643,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,332 : 300,588 = 300,588 : x
  2. Step 2: Convert to fraction form
    140,332/300,588 = 300,588/x
  3. Step 3: Cross multiply
    140,332x = 300,588 × 300,588
  4. Step 4: Simplify right side
    140,332x = 90,353,145,744
  5. Step 5: Solve for x
    x = 90,353,145,744/140,332
  6. Step 6: Final answer
    x = 643,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.