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Finding the Third Proportional to 114,752 and 235,840

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Solution

The third proportional to 114,752 and 235,840 is: 484,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,752 : 235,840 = 235,840 : x
  2. Step 2: Convert to fraction form
    114,752/235,840 = 235,840/x
  3. Step 3: Cross multiply
    114,752x = 235,840 × 235,840
  4. Step 4: Simplify right side
    114,752x = 55,620,505,600
  5. Step 5: Solve for x
    x = 55,620,505,600/114,752
  6. Step 6: Final answer
    x = 484,701.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.