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Finding the Third Proportional to 148,532 and 309,304

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Solution

The third proportional to 148,532 and 309,304 is: 644,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,532 : 309,304 = 309,304 : x
  2. Step 2: Convert to fraction form
    148,532/309,304 = 309,304/x
  3. Step 3: Cross multiply
    148,532x = 309,304 × 309,304
  4. Step 4: Simplify right side
    148,532x = 95,668,964,416
  5. Step 5: Solve for x
    x = 95,668,964,416/148,532
  6. Step 6: Final answer
    x = 644,096.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.