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Finding the Third Proportional to 163,630.13 and 357,711.19

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Solution

The third proportional to 163,630.13 and 357,711.19 is: 781,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,630.13 : 357,711.19 = 357,711.19 : x
  2. Step 2: Convert to fraction form
    163,630.13/357,711.19 = 357,711.19/x
  3. Step 3: Cross multiply
    163,630.13x = 357,711.19 × 357,711.19
  4. Step 4: Simplify right side
    163,630.13x = 127,957,293,662.66
  5. Step 5: Solve for x
    x = 127,957,293,662.66/163,630.13
  6. Step 6: Final answer
    x = 781,991.05

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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.