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Finding the Third Proportional to 202,185 and 432,772

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Solution

The third proportional to 202,185 and 432,772 is: 926,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,185 : 432,772 = 432,772 : x
  2. Step 2: Convert to fraction form
    202,185/432,772 = 432,772/x
  3. Step 3: Cross multiply
    202,185x = 432,772 × 432,772
  4. Step 4: Simplify right side
    202,185x = 187,291,603,984
  5. Step 5: Solve for x
    x = 187,291,603,984/202,185
  6. Step 6: Final answer
    x = 926,337.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.