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Finding the Third Proportional to 199,417.57 and 286,669.76

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Solution

The third proportional to 199,417.57 and 286,669.76 is: 412,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,417.57 : 286,669.76 = 286,669.76 : x
  2. Step 2: Convert to fraction form
    199,417.57/286,669.76 = 286,669.76/x
  3. Step 3: Cross multiply
    199,417.57x = 286,669.76 × 286,669.76
  4. Step 4: Simplify right side
    199,417.57x = 82,179,550,044.28
  5. Step 5: Solve for x
    x = 82,179,550,044.28/199,417.57
  6. Step 6: Final answer
    x = 412,097.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.