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Finding the Third Proportional to 216,364.50 and 472,095

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Solution

The third proportional to 216,364.50 and 472,095 is: 1,030,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,364.50 : 472,095 = 472,095 : x
  2. Step 2: Convert to fraction form
    216,364.50/472,095 = 472,095/x
  3. Step 3: Cross multiply
    216,364.50x = 472,095 × 472,095
  4. Step 4: Simplify right side
    216,364.50x = 222,873,689,025
  5. Step 5: Solve for x
    x = 222,873,689,025/216,364.50
  6. Step 6: Final answer
    x = 1,030,084.37

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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.