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Finding the Third Proportional to 172,648 and 357,283

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Solution

The third proportional to 172,648 and 357,283 is: 739,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648 : 357,283 = 357,283 : x
  2. Step 2: Convert to fraction form
    172,648/357,283 = 357,283/x
  3. Step 3: Cross multiply
    172,648x = 357,283 × 357,283
  4. Step 4: Simplify right side
    172,648x = 127,651,142,089
  5. Step 5: Solve for x
    x = 127,651,142,089/172,648
  6. Step 6: Final answer
    x = 739,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.