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Finding the Third Proportional to 185,270 and 403,674

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Solution

The third proportional to 185,270 and 403,674 is: 879,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,270 : 403,674 = 403,674 : x
  2. Step 2: Convert to fraction form
    185,270/403,674 = 403,674/x
  3. Step 3: Cross multiply
    185,270x = 403,674 × 403,674
  4. Step 4: Simplify right side
    185,270x = 162,952,698,276
  5. Step 5: Solve for x
    x = 162,952,698,276/185,270
  6. Step 6: Final answer
    x = 879,541.74

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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.