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Finding the Third Proportional to 185,068 and 403,424

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Solution

The third proportional to 185,068 and 403,424 is: 879,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,068 : 403,424 = 403,424 : x
  2. Step 2: Convert to fraction form
    185,068/403,424 = 403,424/x
  3. Step 3: Cross multiply
    185,068x = 403,424 × 403,424
  4. Step 4: Simplify right side
    185,068x = 162,750,923,776
  5. Step 5: Solve for x
    x = 162,750,923,776/185,068
  6. Step 6: Final answer
    x = 879,411.48

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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.