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Finding the Third Proportional to 131,650 and 289,041.50

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Solution

The third proportional to 131,650 and 289,041.50 is: 634,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,650 : 289,041.50 = 289,041.50 : x
  2. Step 2: Convert to fraction form
    131,650/289,041.50 = 289,041.50/x
  3. Step 3: Cross multiply
    131,650x = 289,041.50 × 289,041.50
  4. Step 4: Simplify right side
    131,650x = 83,544,988,722.25
  5. Step 5: Solve for x
    x = 83,544,988,722.25/131,650
  6. Step 6: Final answer
    x = 634,599.23

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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.