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Finding the Third Proportional to 85,232 and 183,545.50

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Solution

The third proportional to 85,232 and 183,545.50 is: 395,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232 : 183,545.50 = 183,545.50 : x
  2. Step 2: Convert to fraction form
    85,232/183,545.50 = 183,545.50/x
  3. Step 3: Cross multiply
    85,232x = 183,545.50 × 183,545.50
  4. Step 4: Simplify right side
    85,232x = 33,688,950,570.25
  5. Step 5: Solve for x
    x = 33,688,950,570.25/85,232
  6. Step 6: Final answer
    x = 395,261.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.