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Finding the Third Proportional to 243,189 and 530,226

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Solution

The third proportional to 243,189 and 530,226 is: 1,156,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,189 : 530,226 = 530,226 : x
  2. Step 2: Convert to fraction form
    243,189/530,226 = 530,226/x
  3. Step 3: Cross multiply
    243,189x = 530,226 × 530,226
  4. Step 4: Simplify right side
    243,189x = 281,139,611,076
  5. Step 5: Solve for x
    x = 281,139,611,076/243,189
  6. Step 6: Final answer
    x = 1,156,053.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.