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Finding the Third Proportional to 109,648.50 and 240,237.50

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Solution

The third proportional to 109,648.50 and 240,237.50 is: 526,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,648.50 : 240,237.50 = 240,237.50 : x
  2. Step 2: Convert to fraction form
    109,648.50/240,237.50 = 240,237.50/x
  3. Step 3: Cross multiply
    109,648.50x = 240,237.50 × 240,237.50
  4. Step 4: Simplify right side
    109,648.50x = 57,714,056,406.25
  5. Step 5: Solve for x
    x = 57,714,056,406.25/109,648.50
  6. Step 6: Final answer
    x = 526,355.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.