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Finding the Third Proportional to 210,156 and 456,034

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Solution

The third proportional to 210,156 and 456,034 is: 989,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156 : 456,034 = 456,034 : x
  2. Step 2: Convert to fraction form
    210,156/456,034 = 456,034/x
  3. Step 3: Cross multiply
    210,156x = 456,034 × 456,034
  4. Step 4: Simplify right side
    210,156x = 207,967,009,156
  5. Step 5: Solve for x
    x = 207,967,009,156/210,156
  6. Step 6: Final answer
    x = 989,583.97

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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.