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Finding the Third Proportional to 183,411.84 and 432,274.22

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Solution

The third proportional to 183,411.84 and 432,274.22 is: 1,018,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,411.84 : 432,274.22 = 432,274.22 : x
  2. Step 2: Convert to fraction form
    183,411.84/432,274.22 = 432,274.22/x
  3. Step 3: Cross multiply
    183,411.84x = 432,274.22 × 432,274.22
  4. Step 4: Simplify right side
    183,411.84x = 186,861,000,195.92
  5. Step 5: Solve for x
    x = 186,861,000,195.92/183,411.84
  6. Step 6: Final answer
    x = 1,018,805.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.