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Finding the Third Proportional to 181,570 and 288,846

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Solution

The third proportional to 181,570 and 288,846 is: 459,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,570 : 288,846 = 288,846 : x
  2. Step 2: Convert to fraction form
    181,570/288,846 = 288,846/x
  3. Step 3: Cross multiply
    181,570x = 288,846 × 288,846
  4. Step 4: Simplify right side
    181,570x = 83,432,011,716
  5. Step 5: Solve for x
    x = 83,432,011,716/181,570
  6. Step 6: Final answer
    x = 459,503.29

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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.