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Finding the Third Proportional to 210,483.56 and 323,508.94

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Solution

The third proportional to 210,483.56 and 323,508.94 is: 497,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,483.56 : 323,508.94 = 323,508.94 : x
  2. Step 2: Convert to fraction form
    210,483.56/323,508.94 = 323,508.94/x
  3. Step 3: Cross multiply
    210,483.56x = 323,508.94 × 323,508.94
  4. Step 4: Simplify right side
    210,483.56x = 104,658,032,642.38
  5. Step 5: Solve for x
    x = 104,658,032,642.38/210,483.56
  6. Step 6: Final answer
    x = 497,226.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.