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Finding the Third Proportional to 145,436 and 308,452

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Solution

The third proportional to 145,436 and 308,452 is: 654,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,436 : 308,452 = 308,452 : x
  2. Step 2: Convert to fraction form
    145,436/308,452 = 308,452/x
  3. Step 3: Cross multiply
    145,436x = 308,452 × 308,452
  4. Step 4: Simplify right side
    145,436x = 95,142,636,304
  5. Step 5: Solve for x
    x = 95,142,636,304/145,436
  6. Step 6: Final answer
    x = 654,189.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.