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Finding the Third Proportional to 182,068 and 371,365

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Solution

The third proportional to 182,068 and 371,365 is: 757,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,068 : 371,365 = 371,365 : x
  2. Step 2: Convert to fraction form
    182,068/371,365 = 371,365/x
  3. Step 3: Cross multiply
    182,068x = 371,365 × 371,365
  4. Step 4: Simplify right side
    182,068x = 137,911,963,225
  5. Step 5: Solve for x
    x = 137,911,963,225/182,068
  6. Step 6: Final answer
    x = 757,475.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.