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Finding the Third Proportional to 200,125 and 433,466

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Solution

The third proportional to 200,125 and 433,466 is: 938,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,125 : 433,466 = 433,466 : x
  2. Step 2: Convert to fraction form
    200,125/433,466 = 433,466/x
  3. Step 3: Cross multiply
    200,125x = 433,466 × 433,466
  4. Step 4: Simplify right side
    200,125x = 187,892,773,156
  5. Step 5: Solve for x
    x = 187,892,773,156/200,125
  6. Step 6: Final answer
    x = 938,877.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.