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Finding the Third Proportional to 200,739 and 293,565

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Solution

The third proportional to 200,739 and 293,565 is: 429,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739 : 293,565 = 293,565 : x
  2. Step 2: Convert to fraction form
    200,739/293,565 = 293,565/x
  3. Step 3: Cross multiply
    200,739x = 293,565 × 293,565
  4. Step 4: Simplify right side
    200,739x = 86,180,409,225
  5. Step 5: Solve for x
    x = 86,180,409,225/200,739
  6. Step 6: Final answer
    x = 429,315.72

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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.