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Finding the Third Proportional to 140,532 and 304,392

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Solution

The third proportional to 140,532 and 304,392 is: 659,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,532 : 304,392 = 304,392 : x
  2. Step 2: Convert to fraction form
    140,532/304,392 = 304,392/x
  3. Step 3: Cross multiply
    140,532x = 304,392 × 304,392
  4. Step 4: Simplify right side
    140,532x = 92,654,489,664
  5. Step 5: Solve for x
    x = 92,654,489,664/140,532
  6. Step 6: Final answer
    x = 659,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.