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Finding the Third Proportional to 172,419.75 and 365,364

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Solution

The third proportional to 172,419.75 and 365,364 is: 774,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419.75 : 365,364 = 365,364 : x
  2. Step 2: Convert to fraction form
    172,419.75/365,364 = 365,364/x
  3. Step 3: Cross multiply
    172,419.75x = 365,364 × 365,364
  4. Step 4: Simplify right side
    172,419.75x = 133,490,852,496
  5. Step 5: Solve for x
    x = 133,490,852,496/172,419.75
  6. Step 6: Final answer
    x = 774,220.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.