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Finding the Third Proportional to 79,473 and 173,709

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Solution

The third proportional to 79,473 and 173,709 is: 379,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,473 : 173,709 = 173,709 : x
  2. Step 2: Convert to fraction form
    79,473/173,709 = 173,709/x
  3. Step 3: Cross multiply
    79,473x = 173,709 × 173,709
  4. Step 4: Simplify right side
    79,473x = 30,174,816,681
  5. Step 5: Solve for x
    x = 30,174,816,681/79,473
  6. Step 6: Final answer
    x = 379,686.39

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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.