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Finding the Third Proportional to 200,742 and 293,574

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Solution

The third proportional to 200,742 and 293,574 is: 429,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742 : 293,574 = 293,574 : x
  2. Step 2: Convert to fraction form
    200,742/293,574 = 293,574/x
  3. Step 3: Cross multiply
    200,742x = 293,574 × 293,574
  4. Step 4: Simplify right side
    200,742x = 86,185,693,476
  5. Step 5: Solve for x
    x = 86,185,693,476/200,742
  6. Step 6: Final answer
    x = 429,335.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.