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Finding the Third Proportional to 131,525 and 289,860.50

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Solution

The third proportional to 131,525 and 289,860.50 is: 638,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,525 : 289,860.50 = 289,860.50 : x
  2. Step 2: Convert to fraction form
    131,525/289,860.50 = 289,860.50/x
  3. Step 3: Cross multiply
    131,525x = 289,860.50 × 289,860.50
  4. Step 4: Simplify right side
    131,525x = 84,019,109,460.25
  5. Step 5: Solve for x
    x = 84,019,109,460.25/131,525
  6. Step 6: Final answer
    x = 638,807.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.