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Finding the Third Proportional to 145,675 and 316,986.50

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Solution

The third proportional to 145,675 and 316,986.50 is: 689,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,675 : 316,986.50 = 316,986.50 : x
  2. Step 2: Convert to fraction form
    145,675/316,986.50 = 316,986.50/x
  3. Step 3: Cross multiply
    145,675x = 316,986.50 × 316,986.50
  4. Step 4: Simplify right side
    145,675x = 100,480,441,182.25
  5. Step 5: Solve for x
    x = 100,480,441,182.25/145,675
  6. Step 6: Final answer
    x = 689,757.62

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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.