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Finding the Third Proportional to 145,287 and 307,885.50

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Solution

The third proportional to 145,287 and 307,885.50 is: 652,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,287 : 307,885.50 = 307,885.50 : x
  2. Step 2: Convert to fraction form
    145,287/307,885.50 = 307,885.50/x
  3. Step 3: Cross multiply
    145,287x = 307,885.50 × 307,885.50
  4. Step 4: Simplify right side
    145,287x = 94,793,481,110.25
  5. Step 5: Solve for x
    x = 94,793,481,110.25/145,287
  6. Step 6: Final answer
    x = 652,456.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.