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Finding the Third Proportional to 187,075 and 285,283

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Solution

The third proportional to 187,075 and 285,283 is: 435,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,075 : 285,283 = 285,283 : x
  2. Step 2: Convert to fraction form
    187,075/285,283 = 285,283/x
  3. Step 3: Cross multiply
    187,075x = 285,283 × 285,283
  4. Step 4: Simplify right side
    187,075x = 81,386,390,089
  5. Step 5: Solve for x
    x = 81,386,390,089/187,075
  6. Step 6: Final answer
    x = 435,046.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.