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Finding the Third Proportional to 200,913.75 and 294,809.63

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Solution

The third proportional to 200,913.75 and 294,809.63 is: 432,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.75 : 294,809.63 = 294,809.63 : x
  2. Step 2: Convert to fraction form
    200,913.75/294,809.63 = 294,809.63/x
  3. Step 3: Cross multiply
    200,913.75x = 294,809.63 × 294,809.63
  4. Step 4: Simplify right side
    200,913.75x = 86,912,714,992.64
  5. Step 5: Solve for x
    x = 86,912,714,992.64/200,913.75
  6. Step 6: Final answer
    x = 432,587.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.