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Finding the Third Proportional to 212,336 and 460,095

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Solution

The third proportional to 212,336 and 460,095 is: 996,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,336 : 460,095 = 460,095 : x
  2. Step 2: Convert to fraction form
    212,336/460,095 = 460,095/x
  3. Step 3: Cross multiply
    212,336x = 460,095 × 460,095
  4. Step 4: Simplify right side
    212,336x = 211,687,409,025
  5. Step 5: Solve for x
    x = 211,687,409,025/212,336
  6. Step 6: Final answer
    x = 996,945.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.