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Finding the Third Proportional to 176,980 and 385,060

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Solution

The third proportional to 176,980 and 385,060 is: 837,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,980 : 385,060 = 385,060 : x
  2. Step 2: Convert to fraction form
    176,980/385,060 = 385,060/x
  3. Step 3: Cross multiply
    176,980x = 385,060 × 385,060
  4. Step 4: Simplify right side
    176,980x = 148,271,203,600
  5. Step 5: Solve for x
    x = 148,271,203,600/176,980
  6. Step 6: Final answer
    x = 837,785.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.