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Finding the Third Proportional to 199,730 and 434,726

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Solution

The third proportional to 199,730 and 434,726 is: 946,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,730 : 434,726 = 434,726 : x
  2. Step 2: Convert to fraction form
    199,730/434,726 = 434,726/x
  3. Step 3: Cross multiply
    199,730x = 434,726 × 434,726
  4. Step 4: Simplify right side
    199,730x = 188,986,695,076
  5. Step 5: Solve for x
    x = 188,986,695,076/199,730
  6. Step 6: Final answer
    x = 946,210.86

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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.