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Finding the Third Proportional to 210,153 and 456,036

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Solution

The third proportional to 210,153 and 456,036 is: 989,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,153 : 456,036 = 456,036 : x
  2. Step 2: Convert to fraction form
    210,153/456,036 = 456,036/x
  3. Step 3: Cross multiply
    210,153x = 456,036 × 456,036
  4. Step 4: Simplify right side
    210,153x = 207,968,833,296
  5. Step 5: Solve for x
    x = 207,968,833,296/210,153
  6. Step 6: Final answer
    x = 989,606.78

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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.