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Finding the Third Proportional to 200,632 and 293,820

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Solution

The third proportional to 200,632 and 293,820 is: 430,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,632 : 293,820 = 293,820 : x
  2. Step 2: Convert to fraction form
    200,632/293,820 = 293,820/x
  3. Step 3: Cross multiply
    200,632x = 293,820 × 293,820
  4. Step 4: Simplify right side
    200,632x = 86,330,192,400
  5. Step 5: Solve for x
    x = 86,330,192,400/200,632
  6. Step 6: Final answer
    x = 430,291.24

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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.