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Finding the Third Proportional to 183,476 and 372,117

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Solution

The third proportional to 183,476 and 372,117 is: 754,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,476 : 372,117 = 372,117 : x
  2. Step 2: Convert to fraction form
    183,476/372,117 = 372,117/x
  3. Step 3: Cross multiply
    183,476x = 372,117 × 372,117
  4. Step 4: Simplify right side
    183,476x = 138,471,061,689
  5. Step 5: Solve for x
    x = 138,471,061,689/183,476
  6. Step 6: Final answer
    x = 754,709.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.