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Finding the Third Proportional to 185,064.75 and 403,602.75

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Solution

The third proportional to 185,064.75 and 403,602.75 is: 880,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064.75 : 403,602.75 = 403,602.75 : x
  2. Step 2: Convert to fraction form
    185,064.75/403,602.75 = 403,602.75/x
  3. Step 3: Cross multiply
    185,064.75x = 403,602.75 × 403,602.75
  4. Step 4: Simplify right side
    185,064.75x = 162,895,179,807.56
  5. Step 5: Solve for x
    x = 162,895,179,807.56/185,064.75
  6. Step 6: Final answer
    x = 880,206.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.