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Finding the Third Proportional to 201,902 and 295,508.50

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Solution

The third proportional to 201,902 and 295,508.50 is: 432,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902 : 295,508.50 = 295,508.50 : x
  2. Step 2: Convert to fraction form
    201,902/295,508.50 = 295,508.50/x
  3. Step 3: Cross multiply
    201,902x = 295,508.50 × 295,508.50
  4. Step 4: Simplify right side
    201,902x = 87,325,273,572.25
  5. Step 5: Solve for x
    x = 87,325,273,572.25/201,902
  6. Step 6: Final answer
    x = 432,513.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.