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Finding the Third Proportional to 131,290.88 and 288,106.88

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Solution

The third proportional to 131,290.88 and 288,106.88 is: 632,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,290.88 : 288,106.88 = 288,106.88 : x
  2. Step 2: Convert to fraction form
    131,290.88/288,106.88 = 288,106.88/x
  3. Step 3: Cross multiply
    131,290.88x = 288,106.88 × 288,106.88
  4. Step 4: Simplify right side
    131,290.88x = 83,005,571,422.27
  5. Step 5: Solve for x
    x = 83,005,571,422.27/131,290.88
  6. Step 6: Final answer
    x = 632,226.51

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