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Finding the Third Proportional to 223,524 and 435,809.25

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Solution

The third proportional to 223,524 and 435,809.25 is: 849,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,524 : 435,809.25 = 435,809.25 : x
  2. Step 2: Convert to fraction form
    223,524/435,809.25 = 435,809.25/x
  3. Step 3: Cross multiply
    223,524x = 435,809.25 × 435,809.25
  4. Step 4: Simplify right side
    223,524x = 189,929,702,385.56
  5. Step 5: Solve for x
    x = 189,929,702,385.56/223,524
  6. Step 6: Final answer
    x = 849,706.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.