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Finding the Third Proportional to 212,021.25 and 460,852.50

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Solution

The third proportional to 212,021.25 and 460,852.50 is: 1,001,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,021.25 : 460,852.50 = 460,852.50 : x
  2. Step 2: Convert to fraction form
    212,021.25/460,852.50 = 460,852.50/x
  3. Step 3: Cross multiply
    212,021.25x = 460,852.50 × 460,852.50
  4. Step 4: Simplify right side
    212,021.25x = 212,385,026,756.25
  5. Step 5: Solve for x
    x = 212,385,026,756.25/212,021.25
  6. Step 6: Final answer
    x = 1,001,715.76

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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.