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Finding the Third Proportional to 172,466 and 370,132

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Solution

The third proportional to 172,466 and 370,132 is: 794,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,466 : 370,132 = 370,132 : x
  2. Step 2: Convert to fraction form
    172,466/370,132 = 370,132/x
  3. Step 3: Cross multiply
    172,466x = 370,132 × 370,132
  4. Step 4: Simplify right side
    172,466x = 136,997,697,424
  5. Step 5: Solve for x
    x = 136,997,697,424/172,466
  6. Step 6: Final answer
    x = 794,346.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.