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Finding the Third Proportional to 202,295.81 and 442,689.47

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Solution

The third proportional to 202,295.81 and 442,689.47 is: 968,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.81 : 442,689.47 = 442,689.47 : x
  2. Step 2: Convert to fraction form
    202,295.81/442,689.47 = 442,689.47/x
  3. Step 3: Cross multiply
    202,295.81x = 442,689.47 × 442,689.47
  4. Step 4: Simplify right side
    202,295.81x = 195,973,965,742.16
  5. Step 5: Solve for x
    x = 195,973,965,742.16/202,295.81
  6. Step 6: Final answer
    x = 968,749.49

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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.