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Finding the Third Proportional to 114,459 and 247,985.25

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Solution

The third proportional to 114,459 and 247,985.25 is: 537,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459 : 247,985.25 = 247,985.25 : x
  2. Step 2: Convert to fraction form
    114,459/247,985.25 = 247,985.25/x
  3. Step 3: Cross multiply
    114,459x = 247,985.25 × 247,985.25
  4. Step 4: Simplify right side
    114,459x = 61,496,684,217.56
  5. Step 5: Solve for x
    x = 61,496,684,217.56/114,459
  6. Step 6: Final answer
    x = 537,281.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.