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Finding the Third Proportional to 200,591.16 and 432,781.03

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Solution

The third proportional to 200,591.16 and 432,781.03 is: 933,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,591.16 : 432,781.03 = 432,781.03 : x
  2. Step 2: Convert to fraction form
    200,591.16/432,781.03 = 432,781.03/x
  3. Step 3: Cross multiply
    200,591.16x = 432,781.03 × 432,781.03
  4. Step 4: Simplify right side
    200,591.16x = 187,299,421,009.81
  5. Step 5: Solve for x
    x = 187,299,421,009.81/200,591.16
  6. Step 6: Final answer
    x = 933,737.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.