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Finding the Third Proportional to 222,237 and 353,038.75

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Solution

The third proportional to 222,237 and 353,038.75 is: 560,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,237 : 353,038.75 = 353,038.75 : x
  2. Step 2: Convert to fraction form
    222,237/353,038.75 = 353,038.75/x
  3. Step 3: Cross multiply
    222,237x = 353,038.75 × 353,038.75
  4. Step 4: Simplify right side
    222,237x = 124,636,359,001.56
  5. Step 5: Solve for x
    x = 124,636,359,001.56/222,237
  6. Step 6: Final answer
    x = 560,826.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.