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Finding the Third Proportional to 201,760 and 442,702

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Solution

The third proportional to 201,760 and 442,702 is: 971,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760 : 442,702 = 442,702 : x
  2. Step 2: Convert to fraction form
    201,760/442,702 = 442,702/x
  3. Step 3: Cross multiply
    201,760x = 442,702 × 442,702
  4. Step 4: Simplify right side
    201,760x = 195,985,060,804
  5. Step 5: Solve for x
    x = 195,985,060,804/201,760
  6. Step 6: Final answer
    x = 971,377.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.