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Finding the Third Proportional to 199,613 and 293,584

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Solution

The third proportional to 199,613 and 293,584 is: 431,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,613 : 293,584 = 293,584 : x
  2. Step 2: Convert to fraction form
    199,613/293,584 = 293,584/x
  3. Step 3: Cross multiply
    199,613x = 293,584 × 293,584
  4. Step 4: Simplify right side
    199,613x = 86,191,565,056
  5. Step 5: Solve for x
    x = 86,191,565,056/199,613
  6. Step 6: Final answer
    x = 431,793.35

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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.