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Finding the Third Proportional to 210,169.50 and 456,060

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Solution

The third proportional to 210,169.50 and 456,060 is: 989,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,169.50 : 456,060 = 456,060 : x
  2. Step 2: Convert to fraction form
    210,169.50/456,060 = 456,060/x
  3. Step 3: Cross multiply
    210,169.50x = 456,060 × 456,060
  4. Step 4: Simplify right side
    210,169.50x = 207,990,723,600
  5. Step 5: Solve for x
    x = 207,990,723,600/210,169.50
  6. Step 6: Final answer
    x = 989,633.24

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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.