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Finding the Third Proportional to 185,254 and 287,033

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Solution

The third proportional to 185,254 and 287,033 is: 444,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,254 : 287,033 = 287,033 : x
  2. Step 2: Convert to fraction form
    185,254/287,033 = 287,033/x
  3. Step 3: Cross multiply
    185,254x = 287,033 × 287,033
  4. Step 4: Simplify right side
    185,254x = 82,387,943,089
  5. Step 5: Solve for x
    x = 82,387,943,089/185,254
  6. Step 6: Final answer
    x = 444,729.63

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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.