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Finding the Third Proportional to 210,219.75 and 493,522.88

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Solution

The third proportional to 210,219.75 and 493,522.88 is: 1,158,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,219.75 : 493,522.88 = 493,522.88 : x
  2. Step 2: Convert to fraction form
    210,219.75/493,522.88 = 493,522.88/x
  3. Step 3: Cross multiply
    210,219.75x = 493,522.88 × 493,522.88
  4. Step 4: Simplify right side
    210,219.75x = 243,564,828,148.27
  5. Step 5: Solve for x
    x = 243,564,828,148.27/210,219.75
  6. Step 6: Final answer
    x = 1,158,620.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.