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Finding the Third Proportional to 200,876.16 and 432,502.21

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Solution

The third proportional to 200,876.16 and 432,502.21 is: 931,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,876.16 : 432,502.21 = 432,502.21 : x
  2. Step 2: Convert to fraction form
    200,876.16/432,502.21 = 432,502.21/x
  3. Step 3: Cross multiply
    200,876.16x = 432,502.21 × 432,502.21
  4. Step 4: Simplify right side
    200,876.16x = 187,058,160,987.54
  5. Step 5: Solve for x
    x = 187,058,160,987.54/200,876.16
  6. Step 6: Final answer
    x = 931,211.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.