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Finding the Third Proportional to 131,295.50 and 286,354

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Solution

The third proportional to 131,295.50 and 286,354 is: 624,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,295.50 : 286,354 = 286,354 : x
  2. Step 2: Convert to fraction form
    131,295.50/286,354 = 286,354/x
  3. Step 3: Cross multiply
    131,295.50x = 286,354 × 286,354
  4. Step 4: Simplify right side
    131,295.50x = 81,998,613,316
  5. Step 5: Solve for x
    x = 81,998,613,316/131,295.50
  6. Step 6: Final answer
    x = 624,534.83

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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.