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Finding the Third Proportional to 172,526.25 and 377,037

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Solution

The third proportional to 172,526.25 and 377,037 is: 823,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,526.25 : 377,037 = 377,037 : x
  2. Step 2: Convert to fraction form
    172,526.25/377,037 = 377,037/x
  3. Step 3: Cross multiply
    172,526.25x = 377,037 × 377,037
  4. Step 4: Simplify right side
    172,526.25x = 142,156,899,369
  5. Step 5: Solve for x
    x = 142,156,899,369/172,526.25
  6. Step 6: Final answer
    x = 823,972.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.