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Finding the Third Proportional to 254,319 and 345,402

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Solution

The third proportional to 254,319 and 345,402 is: 469,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,319 : 345,402 = 345,402 : x
  2. Step 2: Convert to fraction form
    254,319/345,402 = 345,402/x
  3. Step 3: Cross multiply
    254,319x = 345,402 × 345,402
  4. Step 4: Simplify right side
    254,319x = 119,302,541,604
  5. Step 5: Solve for x
    x = 119,302,541,604/254,319
  6. Step 6: Final answer
    x = 469,105.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.