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Finding the Third Proportional to 200,666 and 294,346

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Solution

The third proportional to 200,666 and 294,346 is: 431,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666 : 294,346 = 294,346 : x
  2. Step 2: Convert to fraction form
    200,666/294,346 = 294,346/x
  3. Step 3: Cross multiply
    200,666x = 294,346 × 294,346
  4. Step 4: Simplify right side
    200,666x = 86,639,567,716
  5. Step 5: Solve for x
    x = 86,639,567,716/200,666
  6. Step 6: Final answer
    x = 431,760.08

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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.