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Finding the Third Proportional to 172,614 and 357,207

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Solution

The third proportional to 172,614 and 357,207 is: 739,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,614 : 357,207 = 357,207 : x
  2. Step 2: Convert to fraction form
    172,614/357,207 = 357,207/x
  3. Step 3: Cross multiply
    172,614x = 357,207 × 357,207
  4. Step 4: Simplify right side
    172,614x = 127,596,840,849
  5. Step 5: Solve for x
    x = 127,596,840,849/172,614
  6. Step 6: Final answer
    x = 739,203.31

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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.