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Finding the Third Proportional to 195,312 and 418,272

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Solution

The third proportional to 195,312 and 418,272 is: 895,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,312 : 418,272 = 418,272 : x
  2. Step 2: Convert to fraction form
    195,312/418,272 = 418,272/x
  3. Step 3: Cross multiply
    195,312x = 418,272 × 418,272
  4. Step 4: Simplify right side
    195,312x = 174,951,465,984
  5. Step 5: Solve for x
    x = 174,951,465,984/195,312
  6. Step 6: Final answer
    x = 895,753.80

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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.