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Finding the Third Proportional to 141,080 and 301,573

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Solution

The third proportional to 141,080 and 301,573 is: 644,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,080 : 301,573 = 301,573 : x
  2. Step 2: Convert to fraction form
    141,080/301,573 = 301,573/x
  3. Step 3: Cross multiply
    141,080x = 301,573 × 301,573
  4. Step 4: Simplify right side
    141,080x = 90,946,274,329
  5. Step 5: Solve for x
    x = 90,946,274,329/141,080
  6. Step 6: Final answer
    x = 644,643.28

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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.