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Finding the Third Proportional to 199,315.69 and 268,530.19

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Solution

The third proportional to 199,315.69 and 268,530.19 is: 361,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,315.69 : 268,530.19 = 268,530.19 : x
  2. Step 2: Convert to fraction form
    199,315.69/268,530.19 = 268,530.19/x
  3. Step 3: Cross multiply
    199,315.69x = 268,530.19 × 268,530.19
  4. Step 4: Simplify right side
    199,315.69x = 72,108,461,598.79
  5. Step 5: Solve for x
    x = 72,108,461,598.79/199,315.69
  6. Step 6: Final answer
    x = 361,780.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.