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Finding the Third Proportional to 200,900 and 293,658

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Solution

The third proportional to 200,900 and 293,658 is: 429,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,900 : 293,658 = 293,658 : x
  2. Step 2: Convert to fraction form
    200,900/293,658 = 293,658/x
  3. Step 3: Cross multiply
    200,900x = 293,658 × 293,658
  4. Step 4: Simplify right side
    200,900x = 86,235,020,964
  5. Step 5: Solve for x
    x = 86,235,020,964/200,900
  6. Step 6: Final answer
    x = 429,243.51

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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.