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Finding the Third Proportional to 185,252 and 287,030

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Solution

The third proportional to 185,252 and 287,030 is: 444,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,252 : 287,030 = 287,030 : x
  2. Step 2: Convert to fraction form
    185,252/287,030 = 287,030/x
  3. Step 3: Cross multiply
    185,252x = 287,030 × 287,030
  4. Step 4: Simplify right side
    185,252x = 82,386,220,900
  5. Step 5: Solve for x
    x = 82,386,220,900/185,252
  6. Step 6: Final answer
    x = 444,725.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.