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Finding the Third Proportional to 210,302 and 456,098

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Solution

The third proportional to 210,302 and 456,098 is: 989,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,302 : 456,098 = 456,098 : x
  2. Step 2: Convert to fraction form
    210,302/456,098 = 456,098/x
  3. Step 3: Cross multiply
    210,302x = 456,098 × 456,098
  4. Step 4: Simplify right side
    210,302x = 208,025,385,604
  5. Step 5: Solve for x
    x = 208,025,385,604/210,302
  6. Step 6: Final answer
    x = 989,174.55

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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.