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Finding the Third Proportional to 175,366 and 383,534

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Solution

The third proportional to 175,366 and 383,534 is: 838,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,366 : 383,534 = 383,534 : x
  2. Step 2: Convert to fraction form
    175,366/383,534 = 383,534/x
  3. Step 3: Cross multiply
    175,366x = 383,534 × 383,534
  4. Step 4: Simplify right side
    175,366x = 147,098,329,156
  5. Step 5: Solve for x
    x = 147,098,329,156/175,366
  6. Step 6: Final answer
    x = 838,807.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.