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Finding the Third Proportional to 140,548 and 302,588

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Solution

The third proportional to 140,548 and 302,588 is: 651,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548 : 302,588 = 302,588 : x
  2. Step 2: Convert to fraction form
    140,548/302,588 = 302,588/x
  3. Step 3: Cross multiply
    140,548x = 302,588 × 302,588
  4. Step 4: Simplify right side
    140,548x = 91,559,497,744
  5. Step 5: Solve for x
    x = 91,559,497,744/140,548
  6. Step 6: Final answer
    x = 651,446.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.