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Finding the Third Proportional to 131,584.50 and 288,207

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Solution

The third proportional to 131,584.50 and 288,207 is: 631,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584.50 : 288,207 = 288,207 : x
  2. Step 2: Convert to fraction form
    131,584.50/288,207 = 288,207/x
  3. Step 3: Cross multiply
    131,584.50x = 288,207 × 288,207
  4. Step 4: Simplify right side
    131,584.50x = 83,063,274,849
  5. Step 5: Solve for x
    x = 83,063,274,849/131,584.50
  6. Step 6: Final answer
    x = 631,254.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.