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Finding the Third Proportional to 175,509 and 379,037

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Solution

The third proportional to 175,509 and 379,037 is: 818,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509 : 379,037 = 379,037 : x
  2. Step 2: Convert to fraction form
    175,509/379,037 = 379,037/x
  3. Step 3: Cross multiply
    175,509x = 379,037 × 379,037
  4. Step 4: Simplify right side
    175,509x = 143,669,047,369
  5. Step 5: Solve for x
    x = 143,669,047,369/175,509
  6. Step 6: Final answer
    x = 818,585.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.