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Finding the Third Proportional to 175,048 and 385,088

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Solution

The third proportional to 175,048 and 385,088 is: 847,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 385,088 = 385,088 : x
  2. Step 2: Convert to fraction form
    175,048/385,088 = 385,088/x
  3. Step 3: Cross multiply
    175,048x = 385,088 × 385,088
  4. Step 4: Simplify right side
    175,048x = 148,292,767,744
  5. Step 5: Solve for x
    x = 148,292,767,744/175,048
  6. Step 6: Final answer
    x = 847,154.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.