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Finding the Third Proportional to 175,969.13 and 384,206.63

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Solution

The third proportional to 175,969.13 and 384,206.63 is: 838,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,969.13 : 384,206.63 = 384,206.63 : x
  2. Step 2: Convert to fraction form
    175,969.13/384,206.63 = 384,206.63/x
  3. Step 3: Cross multiply
    175,969.13x = 384,206.63 × 384,206.63
  4. Step 4: Simplify right side
    175,969.13x = 147,614,730,693.89
  5. Step 5: Solve for x
    x = 147,614,730,693.89/175,969.13
  6. Step 6: Final answer
    x = 838,867.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.