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Finding the Third Proportional to 282,252 and 401,202

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Solution

The third proportional to 282,252 and 401,202 is: 570,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252 : 401,202 = 401,202 : x
  2. Step 2: Convert to fraction form
    282,252/401,202 = 401,202/x
  3. Step 3: Cross multiply
    282,252x = 401,202 × 401,202
  4. Step 4: Simplify right side
    282,252x = 160,963,044,804
  5. Step 5: Solve for x
    x = 160,963,044,804/282,252
  6. Step 6: Final answer
    x = 570,281.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.