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Finding the Third Proportional to 131,580 and 288,200

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Solution

The third proportional to 131,580 and 288,200 is: 631,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,580 : 288,200 = 288,200 : x
  2. Step 2: Convert to fraction form
    131,580/288,200 = 288,200/x
  3. Step 3: Cross multiply
    131,580x = 288,200 × 288,200
  4. Step 4: Simplify right side
    131,580x = 83,059,240,000
  5. Step 5: Solve for x
    x = 83,059,240,000/131,580
  6. Step 6: Final answer
    x = 631,245.17

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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.