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Finding the Third Proportional to 172,334 and 360,364

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Solution

The third proportional to 172,334 and 360,364 is: 753,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,334 : 360,364 = 360,364 : x
  2. Step 2: Convert to fraction form
    172,334/360,364 = 360,364/x
  3. Step 3: Cross multiply
    172,334x = 360,364 × 360,364
  4. Step 4: Simplify right side
    172,334x = 129,862,212,496
  5. Step 5: Solve for x
    x = 129,862,212,496/172,334
  6. Step 6: Final answer
    x = 753,549.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.