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Finding the Third Proportional to 202,712 and 285,139

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Solution

The third proportional to 202,712 and 285,139 is: 401,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712 : 285,139 = 285,139 : x
  2. Step 2: Convert to fraction form
    202,712/285,139 = 285,139/x
  3. Step 3: Cross multiply
    202,712x = 285,139 × 285,139
  4. Step 4: Simplify right side
    202,712x = 81,304,249,321
  5. Step 5: Solve for x
    x = 81,304,249,321/202,712
  6. Step 6: Final answer
    x = 401,082.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.