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Finding the Third Proportional to 201,746 and 293,115

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Solution

The third proportional to 201,746 and 293,115 is: 425,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746 : 293,115 = 293,115 : x
  2. Step 2: Convert to fraction form
    201,746/293,115 = 293,115/x
  3. Step 3: Cross multiply
    201,746x = 293,115 × 293,115
  4. Step 4: Simplify right side
    201,746x = 85,916,403,225
  5. Step 5: Solve for x
    x = 85,916,403,225/201,746
  6. Step 6: Final answer
    x = 425,864.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.