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Finding the Third Proportional to 179,618 and 292,015

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Solution

The third proportional to 179,618 and 292,015 is: 474,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,618 : 292,015 = 292,015 : x
  2. Step 2: Convert to fraction form
    179,618/292,015 = 292,015/x
  3. Step 3: Cross multiply
    179,618x = 292,015 × 292,015
  4. Step 4: Simplify right side
    179,618x = 85,272,760,225
  5. Step 5: Solve for x
    x = 85,272,760,225/179,618
  6. Step 6: Final answer
    x = 474,745.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.