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Finding the Third Proportional to 222,051 and 338,602.50

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Solution

The third proportional to 222,051 and 338,602.50 is: 516,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,051 : 338,602.50 = 338,602.50 : x
  2. Step 2: Convert to fraction form
    222,051/338,602.50 = 338,602.50/x
  3. Step 3: Cross multiply
    222,051x = 338,602.50 × 338,602.50
  4. Step 4: Simplify right side
    222,051x = 114,651,653,006.25
  5. Step 5: Solve for x
    x = 114,651,653,006.25/222,051
  6. Step 6: Final answer
    x = 516,330.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.