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Finding the Third Proportional to 145,658.25 and 209,283.75

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Solution

The third proportional to 145,658.25 and 209,283.75 is: 300,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.25 : 209,283.75 = 209,283.75 : x
  2. Step 2: Convert to fraction form
    145,658.25/209,283.75 = 209,283.75/x
  3. Step 3: Cross multiply
    145,658.25x = 209,283.75 × 209,283.75
  4. Step 4: Simplify right side
    145,658.25x = 43,799,688,014.06
  5. Step 5: Solve for x
    x = 43,799,688,014.06/145,658.25
  6. Step 6: Final answer
    x = 300,701.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.