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Finding the Third Proportional to 131,937 and 288,068.25

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Solution

The third proportional to 131,937 and 288,068.25 is: 628,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,937 : 288,068.25 = 288,068.25 : x
  2. Step 2: Convert to fraction form
    131,937/288,068.25 = 288,068.25/x
  3. Step 3: Cross multiply
    131,937x = 288,068.25 × 288,068.25
  4. Step 4: Simplify right side
    131,937x = 82,983,316,658.06
  5. Step 5: Solve for x
    x = 82,983,316,658.06/131,937
  6. Step 6: Final answer
    x = 628,961.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.